Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cm |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
130636800 |
Modular degree for the optimal curve |
Δ |
3.7008406682878E+26 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2980849388,-62634335210608] |
[a1,a2,a3,a4,a6] |
Generators |
[-69715048:148003588:2197] |
Generators of the group modulo torsion |
j |
6375616158287489425/805524471808 |
j-invariant |
L |
11.978546694795 |
L(r)(E,1)/r! |
Ω |
0.020432327397182 |
Real period |
R |
6.1068191530346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350bv1 6650b1 |
Quadratic twists by: 5 -19 |