Atkin-Lehner |
2+ 3- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274n |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-14205842767872 = -1 · 214 · 39 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 3 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-936,-181440] |
[a1,a2,a3,a4,a6] |
Generators |
[528:11832:1] |
Generators of the group modulo torsion |
j |
-124475734657/19486752768 |
j-invariant |
L |
5.0836599692021 |
L(r)(E,1)/r! |
Ω |
0.31313513608833 |
Real period |
R |
1.0146697353832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37758o1 |
Quadratic twists by: -3 |