Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504bj |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
894321072475734016 = 220 · 318 |
Discriminant |
Eigenvalues |
2- 3 -1 3 -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4694704108,123811347857744] |
[a1,a2,a3,a4,a6] |
j |
51181724570498001/4 |
j-invariant |
L |
5.1676214976577 |
L(r)(E,1)/r! |
Ω |
0.10765878105605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504h2 15376s2 61504cf2 |
Quadratic twists by: -4 8 -31 |