Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33744h |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
6062335819776 = 215 · 36 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4584,-13968] |
[a1,a2,a3,a4,a6] |
Generators |
[84:432:1] |
Generators of the group modulo torsion |
j |
2601311308777/1480062456 |
j-invariant |
L |
5.9226278777183 |
L(r)(E,1)/r! |
Ω |
0.62709452597107 |
Real period |
R |
1.1805692029736 |
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 |
4218e1 101232bf1 |
Quadratic twists by: -4 -3 |