Atkin-Lehner |
3- 5- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395q |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
103492832625 = 33 · 53 · 73 · 132 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24018,-1434569] |
[a1,a2,a3,a4,a6] |
j |
1532174536349959321/103492832625 |
j-invariant |
L |
3.451531015129 |
L(r)(E,1)/r! |
Ω |
0.38350344612584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185q1 |
Quadratic twists by: -3 |