Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55506i |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30011520 |
Modular degree for the optimal curve |
Δ |
-2.9978735209813E+27 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11+ 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,210450141,2357773069581] |
[a1,a2,a3,a4,a6] |
j |
71054140594037203/206648056479744 |
j-invariant |
L |
0.57080125424572 |
L(r)(E,1)/r! |
Ω |
0.031711180817645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55506bn1 |
Quadratic twists by: 29 |