Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400cj |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-60480000000000 = -1 · 215 · 33 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9792,33588] |
[a1,a2,a3,a4,a6] |
j |
2595575/1512 |
j-invariant |
L |
2.2595407090883 |
L(r)(E,1)/r! |
Ω |
0.37659011818138 |
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 |
1050l1 33600fe1 25200es1 8400br1 |
Quadratic twists by: -4 8 -3 5 |