Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728dd |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
149184 = 26 · 32 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,2574] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:54:1] |
Generators of the group modulo torsion |
j |
70547387968/2331 |
j-invariant |
L |
3.3528378978309 |
L(r)(E,1)/r! |
Ω |
3.0384139656204 |
Real period |
R |
2.2069658287128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728ey1 24864i2 |
Quadratic twists by: -4 8 |