Atkin-Lehner |
2- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107822s |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-4564383009472 = -1 · 26 · 113 · 133 · 293 |
Discriminant |
Eigenvalues |
2- 2 0 3 11- 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3552,-61183] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-1001:1] |
Generators of the group modulo torsion |
j |
2255822295875/2077552576 |
j-invariant |
L |
18.54915715545 |
L(r)(E,1)/r! |
Ω |
0.42385526834764 |
Real period |
R |
0.40521250469156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107822h1 |
Quadratic twists by: 13 |