Atkin-Lehner |
2- 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
61812c |
Isogeny class |
Conductor |
61812 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1622194128 = 24 · 310 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5124,-141163] |
[a1,a2,a3,a4,a6] |
j |
1275567849472/139077 |
j-invariant |
L |
5.0785838217848 |
L(r)(E,1)/r! |
Ω |
0.564287091691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20604b1 |
Quadratic twists by: -3 |