Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088t |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-5828799021056 = -1 · 214 · 115 · 472 |
Discriminant |
Eigenvalues |
2+ 3 -3 -2 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4496,-5344] |
[a1,a2,a3,a4,a6] |
Generators |
[291:5687:27] |
Generators of the group modulo torsion |
j |
613454957568/355761659 |
j-invariant |
L |
7.5206906250181 |
L(r)(E,1)/r! |
Ω |
0.45003047065441 |
Real period |
R |
1.6711514253872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088bd1 4136f1 |
Quadratic twists by: -4 8 |