Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400dp |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2925000000 = -1 · 26 · 32 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,-1662] |
[a1,a2,a3,a4,a6] |
j |
109760/117 |
j-invariant |
L |
1.5459714091501 |
L(r)(E,1)/r! |
Ω |
0.77298570480516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400bu1 31200br1 62400g1 |
Quadratic twists by: -4 8 5 |