Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46930v |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-232406652140 = -1 · 22 · 5 · 13 · 197 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-631216,-193288707] |
[a1,a2,a3,a4,a6] |
Generators |
[2970786:52965753:2744] |
Generators of the group modulo torsion |
j |
-591202341974089/4940 |
j-invariant |
L |
6.0557434974695 |
L(r)(E,1)/r! |
Ω |
0.084688619885613 |
Real period |
R |
8.9382485888329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2470b1 |
Quadratic twists by: -19 |