Atkin-Lehner |
2+ 3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33744d |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
12957696 = 211 · 32 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [-4:4:1] |
Generators of the group modulo torsion |
j |
48275138/6327 |
j-invariant |
L |
6.4999765048273 |
L(r)(E,1)/r! |
Ω |
1.5370764724992 |
Real period |
R |
0.52859898491742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16872c1 101232g1 |
Quadratic twists by: -4 -3 |