Atkin-Lehner |
7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56749i |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
100534315189 = 7 · 118 · 67 |
Discriminant |
Eigenvalues |
1 -1 1 7- 11- -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2422,-44293] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:31:1] [-194:339:8] |
Generators of the group modulo torsion |
j |
887503681/56749 |
j-invariant |
L |
10.422681188354 |
L(r)(E,1)/r! |
Ω |
0.68323597529713 |
Real period |
R |
7.627438809717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159g1 |
Quadratic twists by: -11 |