Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260v |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
4514400 |
Modular degree for the optimal curve |
Δ |
-9.9135702015035E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10842246,13820908905] |
[a1,a2,a3,a4,a6] |
Generators |
[522:91125:1] |
Generators of the group modulo torsion |
j |
-74881286942075067136/526649727234375 |
j-invariant |
L |
7.9964445184664 |
L(r)(E,1)/r! |
Ω |
0.15711272498365 |
Real period |
R |
0.44645810903901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1740d1 |
Quadratic twists by: -7 |