Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624i |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-265102701963264 = -1 · 211 · 313 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11+ 1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140691,-20326862] |
[a1,a2,a3,a4,a6] |
j |
-206283827552546/177564717 |
j-invariant |
L |
4.4369350071808 |
L(r)(E,1)/r! |
Ω |
0.1232481934575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48312i1 32208f1 |
Quadratic twists by: -4 -3 |