Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530m |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
172405829906359400 = 23 · 52 · 1312 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-305471,-61963907] |
[a1,a2,a3,a4,a6] |
j |
653090921929081/35718386600 |
j-invariant |
L |
4.890412518742 |
L(r)(E,1)/r! |
Ω |
0.20376718845522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810d2 |
Quadratic twists by: 13 |