Atkin-Lehner |
2- 3- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526y |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1777664 |
Modular degree for the optimal curve |
Δ |
-11214964608712704 = -1 · 214 · 36 · 7 · 17 · 534 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1078634,431480233] |
[a1,a2,a3,a4,a6] |
Generators |
[497:3991:1] |
Generators of the group modulo torsion |
j |
-190378597673833931097/15384039243776 |
j-invariant |
L |
11.162731539373 |
L(r)(E,1)/r! |
Ω |
0.38505134185262 |
Real period |
R |
0.51768289039198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614b1 |
Quadratic twists by: -3 |