Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950ff |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
4.7318078126592E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20077430,-33002119803] |
[a1,a2,a3,a4,a6] |
Generators |
[-2281:31515:1] |
Generators of the group modulo torsion |
j |
628623316769266853/33232998629376 |
j-invariant |
L |
9.1510752664828 |
L(r)(E,1)/r! |
Ω |
0.071556430129802 |
Real period |
R |
1.7761963161029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650q1 40950cm1 |
Quadratic twists by: -3 5 |