Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800b |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1140750000 = -1 · 24 · 33 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117,1512] |
[a1,a2,a3,a4,a6] |
j |
702464/4563 |
j-invariant |
L |
2.2411547830837 |
L(r)(E,1)/r! |
Ω |
1.1205773915419 |
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 |
15600u1 62400co1 23400bn1 312f1 |
Quadratic twists by: -4 8 -3 5 |