Atkin-Lehner |
2- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
51940f |
Isogeny class |
Conductor |
51940 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
795331250000 = 24 · 58 · 74 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -5 -5 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,169168] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-35:1] [31:125:1] |
Generators of the group modulo torsion |
j |
604978855936/20703125 |
j-invariant |
L |
6.994333451351 |
L(r)(E,1)/r! |
Ω |
0.88938954510405 |
Real period |
R |
0.10922494051388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51940d1 |
Quadratic twists by: -7 |