Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37752r |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3316362192 = 24 · 32 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4759,-124760] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1:1] |
Generators of the group modulo torsion |
j |
420616192/117 |
j-invariant |
L |
2.3534079978548 |
L(r)(E,1)/r! |
Ω |
0.5748046509614 |
Real period |
R |
2.0471372264637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504s1 113256o1 312d1 |
Quadratic twists by: -4 -3 -11 |