Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400v |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-8809891786800000000 = -1 · 210 · 33 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929533,373643437] |
[a1,a2,a3,a4,a6] |
j |
-5551350318708736/550618236675 |
j-invariant |
L |
1.8081377244252 |
L(r)(E,1)/r! |
Ω |
0.22601721569895 |
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 |
62400hb1 7800e1 12480t1 |
Quadratic twists by: -4 8 5 |