Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400em |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-73008000000 = -1 · 210 · 33 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,467,-12563] |
[a1,a2,a3,a4,a6] |
j |
702464/4563 |
j-invariant |
L |
1.0903735785386 |
L(r)(E,1)/r! |
Ω |
0.54518678416606 |
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 |
62400co1 15600u1 2496bd1 |
Quadratic twists by: -4 8 5 |