Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504bj |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4999680 |
Modular degree for the optimal curve |
Δ |
3.6631391128606E+21 |
Discriminant |
Eigenvalues |
2- 3 -1 3 -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4409068,-2053910704] |
[a1,a2,a3,a4,a6] |
j |
42396561/16384 |
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 |
61504h1 15376s1 61504cf1 |
Quadratic twists by: -4 8 -31 |