Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46930l |
Isogeny class |
Conductor |
46930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
489277162400000 = 28 · 55 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-303609,64355996] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:8867:1] |
Generators of the group modulo torsion |
j |
65787589563409/10400000 |
j-invariant |
L |
1.6428974816231 |
L(r)(E,1)/r! |
Ω |
0.50691784894854 |
Real period |
R |
3.2409541013695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130c1 |
Quadratic twists by: -19 |