Atkin-Lehner |
3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
92925t |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
2847549125329453125 = 37 · 57 · 710 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -1 -5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13434825,18953619156] |
[a1,a2,a3,a4,a6] |
Generators |
[-4195:38587:1] [17890:-77179:8] |
Generators of the group modulo torsion |
j |
23543563594568052736/249990595365 |
j-invariant |
L |
5.817235620616 |
L(r)(E,1)/r! |
Ω |
0.23043629788381 |
Real period |
R |
0.1577777588154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975u1 18585i1 |
Quadratic twists by: -3 5 |