Atkin-Lehner |
2- 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238bw |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
9362276352 = 216 · 33 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-587,-2725] |
[a1,a2,a3,a4,a6] |
Generators |
[27:10:1] [-17:54:1] |
Generators of the group modulo torsion |
j |
827142723603/346750976 |
j-invariant |
L |
11.502990945723 |
L(r)(E,1)/r! |
Ω |
1.0069282726211 |
Real period |
R |
1.4279804304499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238a1 |
Quadratic twists by: -3 |