Atkin-Lehner |
2- 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123624o |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6704640 |
Modular degree for the optimal curve |
Δ |
4.3453565795107E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15000555,-22135871482] |
[a1,a2,a3,a4,a6] |
Generators |
[-2162:13770:1] [9262:795906:1] |
Generators of the group modulo torsion |
j |
250027751026762663250/2910502252865871 |
j-invariant |
L |
12.433697135749 |
L(r)(E,1)/r! |
Ω |
0.076767661782186 |
Real period |
R |
4.4990360281677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41208a1 |
Quadratic twists by: -3 |