Atkin-Lehner |
2+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950p |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280640 |
Modular degree for the optimal curve |
Δ |
113183593750 = 2 · 511 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ -3 5+ 4 4 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1172917,489225991] |
[a1,a2,a3,a4,a6] |
j |
11421042222518756001/7243750 |
j-invariant |
L |
1.296964194169 |
L(r)(E,1)/r! |
Ω |
0.64848209689472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590r1 |
Quadratic twists by: 5 |