Atkin-Lehner |
2- 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488n |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2539606265856 = 212 · 38 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11+ 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5541,140877] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:81:1] |
Generators of the group modulo torsion |
j |
4594165018624/620021061 |
j-invariant |
L |
4.1306462003268 |
L(r)(E,1)/r! |
Ω |
0.78193586938071 |
Real period |
R |
2.6412947417273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343h1 112464bf1 |
Quadratic twists by: -4 -3 |