Atkin-Lehner |
2- 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51688g |
Isogeny class |
Conductor |
51688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
21502208 = 28 · 7 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 2 0 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148,708] |
[a1,a2,a3,a4,a6] |
Generators |
[24:102:1] |
Generators of the group modulo torsion |
j |
1409938000/83993 |
j-invariant |
L |
9.8666128926763 |
L(r)(E,1)/r! |
Ω |
2.1159200382413 |
Real period |
R |
2.3315183736298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103376c1 |
Quadratic twists by: -4 |