Atkin-Lehner |
2- 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258bd |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-2515223445504 = -1 · 224 · 3 · 7 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1758,70980] |
[a1,a2,a3,a4,a6] |
j |
600848365809887/2515223445504 |
j-invariant |
L |
6.9713450147122 |
L(r)(E,1)/r! |
Ω |
0.58094541789273 |
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 |
81774o1 |
Quadratic twists by: -3 |