Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cs |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-89698244493312 = -1 · 231 · 33 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25368,-1629036] |
[a1,a2,a3,a4,a6] |
Generators |
[23070:12288:125] |
Generators of the group modulo torsion |
j |
-440797954857625/21898985472 |
j-invariant |
L |
7.772438961675 |
L(r)(E,1)/r! |
Ω |
0.18859966175455 |
Real period |
R |
3.4342757596064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282f1 |
Quadratic twists by: -4 |