Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cs |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
248474688 = 26 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-506,-4488] |
[a1,a2,a3,a4,a6] |
Generators |
[115545:3513798:125] |
Generators of the group modulo torsion |
j |
1906624/33 |
j-invariant |
L |
10.137753944401 |
L(r)(E,1)/r! |
Ω |
1.0075032537016 |
Real period |
R |
10.062254297577 |
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 |
51744m1 103488bk1 1056h1 |
Quadratic twists by: -4 8 -7 |