Atkin-Lehner |
2+ 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022i |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
67336482207301632 = 218 · 36 · 136 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-158526,-20853584] |
[a1,a2,a3,a4,a6] |
j |
91276959390625/13950517248 |
j-invariant |
L |
1.4503134857379 |
L(r)(E,1)/r! |
Ω |
0.24171891698241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438a1 |
Quadratic twists by: 13 |