Atkin-Lehner |
2- 3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782bh |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
15025824 = 25 · 34 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-292,-1936] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] |
Generators of the group modulo torsion |
j |
2754008142913/15025824 |
j-invariant |
L |
8.484272069775 |
L(r)(E,1)/r! |
Ω |
1.1552840021681 |
Real period |
R |
0.36719421604784 |
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 |
104346r1 |
Quadratic twists by: -3 |