Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722b |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
7.8780308817529E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 1 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3801264,-2511753984] |
[a1,a2,a3,a4,a6] |
Generators |
[-800:4496:1] |
Generators of the group modulo torsion |
j |
46610525182518387/6044965142528 |
j-invariant |
L |
4.7639897416975 |
L(r)(E,1)/r! |
Ω |
0.10904723107663 |
Real period |
R |
2.730462334701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bd1 9594k1 |
Quadratic twists by: -3 13 |