Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290eo |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-8.6312809774719E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5416265,4870035127] |
[a1,a2,a3,a4,a6] |
Generators |
[875:27876:1] |
Generators of the group modulo torsion |
j |
-84309998289049/414124480 |
j-invariant |
L |
14.88121594859 |
L(r)(E,1)/r! |
Ω |
0.19253262872205 |
Real period |
R |
3.2204965393751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470u1 5390p1 |
Quadratic twists by: -7 -11 |