Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382a |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4088832 |
Modular degree for the optimal curve |
Δ |
3.4799438698582E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13566966,-17008279436] |
[a1,a2,a3,a4,a6] |
Generators |
[-132547470505:3127007287928:68417929] |
Generators of the group modulo torsion |
j |
4337844797073969/546605891584 |
j-invariant |
L |
5.2137943165115 |
L(r)(E,1)/r! |
Ω |
0.07931603038134 |
Real period |
R |
16.433608349552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41382bi1 41382bj1 |
Quadratic twists by: -3 -11 |