Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680ci |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-898643496960000 = -1 · 215 · 34 · 54 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16184,1210484] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:528:1] [-28:858:1] |
Generators of the group modulo torsion |
j |
114444397828151/219395385000 |
j-invariant |
L |
12.653168508784 |
L(r)(E,1)/r! |
Ω |
0.34338026115552 |
Real period |
R |
1.1515266328645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210a4 |
Quadratic twists by: -4 |