Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560j |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-87162880000000 = -1 · 223 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -1 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4481,465281] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/332500000 |
j-invariant |
L |
2.0707450748995 |
L(r)(E,1)/r! |
Ω |
0.51768626875224 |
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 |
42560cm1 1330i1 |
Quadratic twists by: -4 8 |