Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52998s |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
156800 |
Modular degree for the optimal curve |
Δ |
19069592813568 = 214 · 32 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15672,724032] |
[a1,a2,a3,a4,a6] |
Generators |
[48:264:1] |
Generators of the group modulo torsion |
j |
240293820313/10764288 |
j-invariant |
L |
14.027469923377 |
L(r)(E,1)/r! |
Ω |
0.679563477577 |
Real period |
R |
1.4744202277536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438e1 |
Quadratic twists by: -11 |