Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950bq |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
2798397656250000 = 24 · 3 · 511 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1672838,832076531] |
[a1,a2,a3,a4,a6] |
j |
33133350772074993049/179097450000 |
j-invariant |
L |
4.8262562693542 |
L(r)(E,1)/r! |
Ω |
0.40218802227187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390g1 |
Quadratic twists by: 5 |