Atkin-Lehner |
3- 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24495f |
Isogeny class |
Conductor |
24495 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6211132017795 = -1 · 38 · 5 · 232 · 713 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 2 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1056,-120985] |
[a1,a2,a3,a4,a6] |
Generators |
[666:4895:8] |
Generators of the group modulo torsion |
j |
-130354691313664/6211132017795 |
j-invariant |
L |
12.538449490248 |
L(r)(E,1)/r! |
Ω |
0.33043284377551 |
Real period |
R |
0.79053188154309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73485m1 122475k1 |
Quadratic twists by: -3 5 |