Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040dj |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1204346880 = 213 · 35 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480,-3852] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:18:1] |
Generators of the group modulo torsion |
j |
24729001/2430 |
j-invariant |
L |
7.1923740756292 |
L(r)(E,1)/r! |
Ω |
1.0262436487214 |
Real period |
R |
0.70084468581997 |
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 |
3630q1 116160fi1 87120eg1 29040di1 |
Quadratic twists by: -4 8 -3 -11 |