Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725r |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32643072 |
Modular degree for the optimal curve |
Δ |
4.5909748134094E+21 |
Discriminant |
Eigenvalues |
2 2 5+ 1 11- -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1464222008,-21564960895457] |
[a1,a2,a3,a4,a6] |
Generators |
[-45353506220213297153919195525493360766578319196631550169174128372394597037302838325942746526030027152950804494791352028986910702247367408:54107311822933850613077485083599188704881992015233920644382549112104693522406428052708745843359239951340458567907811428970549810243297:2052753193012828919447094283203910923801771942150374812800525215457948220263113377141758497865618186892149133431349339565759780294656] |
Generators of the group modulo torsion |
j |
856638571954671616/11328125 |
j-invariant |
L |
19.964582751285 |
L(r)(E,1)/r! |
Ω |
0.024406068307657 |
Real period |
R |
204.50429069132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545p1 87725j1 |
Quadratic twists by: 5 -11 |