Atkin-Lehner |
2+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91234c |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4371840 |
Modular degree for the optimal curve |
Δ |
-153837487346363392 = -1 · 210 · 119 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 2 2 -1 11+ 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28802479,59484708837] |
[a1,a2,a3,a4,a6] |
Generators |
[171:233505:1] |
Generators of the group modulo torsion |
j |
-1120673687607179243/65242112 |
j-invariant |
L |
8.5404358039405 |
L(r)(E,1)/r! |
Ω |
0.24443516234084 |
Real period |
R |
2.9116227668944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91234o1 |
Quadratic twists by: -11 |