Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040di |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
2133573963079680 = 213 · 35 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58120,4894580] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:2904:1] |
Generators of the group modulo torsion |
j |
24729001/2430 |
j-invariant |
L |
7.4773093208626 |
L(r)(E,1)/r! |
Ω |
0.45058832443679 |
Real period |
R |
0.27657579048491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3630e1 116160fg1 87120ee1 29040dj1 |
Quadratic twists by: -4 8 -3 -11 |