Atkin-Lehner |
2+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10360b |
Isogeny class |
Conductor |
10360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-3464909198293760 = -1 · 28 · 5 · 711 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 -7 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1959,-2831221] |
[a1,a2,a3,a4,a6] |
j |
3246125782016/13534801555835 |
j-invariant |
L |
1.6498303178561 |
L(r)(E,1)/r! |
Ω |
0.20622878973201 |
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 |
20720c1 82880m1 93240bz1 51800n1 |
Quadratic twists by: -4 8 -3 5 |