Atkin-Lehner |
3+ 5+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395c |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
576883125 = 32 · 54 · 73 · 13 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 1 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-211,321] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:171:8] [-11:34:1] |
Generators of the group modulo torsion |
j |
1043825065984/576883125 |
j-invariant |
L |
6.052284745651 |
L(r)(E,1)/r! |
Ω |
1.4189249548104 |
Real period |
R |
0.3554501317548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94185bb1 |
Quadratic twists by: -3 |