Atkin-Lehner |
3- 11- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75933f |
Isogeny class |
Conductor |
75933 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
9850837674249 = 312 · 11 · 134 · 59 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11- 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13811,609626] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1120:1] [-354:8687:8] |
Generators of the group modulo torsion |
j |
399615273724393/13512808881 |
j-invariant |
L |
5.6968106699574 |
L(r)(E,1)/r! |
Ω |
0.72125772762781 |
Real period |
R |
3.9492198500817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25311d1 |
Quadratic twists by: -3 |