Atkin-Lehner |
2+ 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950d |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
18585000000 = 26 · 32 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-875,-7875] |
[a1,a2,a3,a4,a6] |
j |
4750104241/1189440 |
j-invariant |
L |
1.787601686406 |
L(r)(E,1)/r! |
Ω |
0.89380084304806 |
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 |
12390u1 |
Quadratic twists by: 5 |