Atkin-Lehner |
5+ 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
126665b |
Isogeny class |
Conductor |
126665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-404787267115 = -1 · 5 · 76 · 114 · 47 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7- 11- -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,474,30510] |
[a1,a2,a3,a4,a6] |
Generators |
[30:269:1] [-19:122:1] |
Generators of the group modulo torsion |
j |
99897344/3440635 |
j-invariant |
L |
4.1630240540563 |
L(r)(E,1)/r! |
Ω |
0.71484125585597 |
Real period |
R |
0.72796302871462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000021022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2585b1 |
Quadratic twists by: -7 |