Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ba |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-32440320000000000 = -1 · 225 · 32 · 510 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20833,8749537] |
[a1,a2,a3,a4,a6] |
j |
-390625/12672 |
j-invariant |
L |
2.4662402124243 |
L(r)(E,1)/r! |
Ω |
0.30828002661213 |
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 |
52800gg1 1650e1 52800dw1 |
Quadratic twists by: -4 8 5 |