Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600q |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
284160 |
Modular degree for the optimal curve |
Δ |
-52480000000000 = -1 · 217 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 2 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567500,164550000] |
[a1,a2,a3,a4,a6] |
j |
-15791062050/41 |
j-invariant |
L |
1.0945759874212 |
L(r)(E,1)/r! |
Ω |
0.54728799844554 |
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 |
65600bv1 8200d1 65600bb1 |
Quadratic twists by: -4 8 5 |