Atkin-Lehner |
2+ 3- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238w |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752000 |
Modular degree for the optimal curve |
Δ |
1.2016135314632E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137774988,622483297744] |
[a1,a2,a3,a4,a6] |
Generators |
[6923:17423:1] |
Generators of the group modulo torsion |
j |
396741226145042189263349953/16483038840373248 |
j-invariant |
L |
4.6305824937587 |
L(r)(E,1)/r! |
Ω |
0.16764925786518 |
Real period |
R |
3.452582007718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746be1 |
Quadratic twists by: -3 |