Atkin-Lehner |
2+ 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330br |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-13391035515936000 = -1 · 28 · 33 · 53 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1543988,738329906] |
[a1,a2,a3,a4,a6] |
j |
-499008853769881/16416000 |
j-invariant |
L |
2.2283936810438 |
L(r)(E,1)/r! |
Ω |
0.37139897436116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96330cv1 |
Quadratic twists by: 13 |