Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270bx |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3006720 |
Modular degree for the optimal curve |
Δ |
-102994570527750 = -1 · 2 · 36 · 53 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8641641,-9778549329] |
[a1,a2,a3,a4,a6] |
Generators |
[439465428:40038422795:46656] |
Generators of the group modulo torsion |
j |
-40286196399588268969/58137750 |
j-invariant |
L |
14.24985418066 |
L(r)(E,1)/r! |
Ω |
0.044027142936785 |
Real period |
R |
13.485860857805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570f1 |
Quadratic twists by: -11 |