Atkin-Lehner |
3+ 5- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395f |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4041764731265625 = 310 · 56 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72737,-6933696] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:798:1] |
Generators of the group modulo torsion |
j |
42559762513576354201/4041764731265625 |
j-invariant |
L |
5.1833871012508 |
L(r)(E,1)/r! |
Ω |
0.29248148639564 |
Real period |
R |
2.9536838753611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94185m2 |
Quadratic twists by: -3 |