Atkin-Lehner |
2+ 3- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238k |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
185142672 = 24 · 37 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2988,63616] |
[a1,a2,a3,a4,a6] |
Generators |
[262:-59:8] [33:-5:1] |
Generators of the group modulo torsion |
j |
4047806261953/253968 |
j-invariant |
L |
7.416007440839 |
L(r)(E,1)/r! |
Ω |
1.7043685775888 |
Real period |
R |
2.1755879384804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746z1 |
Quadratic twists by: -3 |