Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23256a |
Isogeny class |
Conductor |
23256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-723354624 = -1 · 210 · 37 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,1294] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] [-1:36:1] |
Generators of the group modulo torsion |
j |
-4/969 |
j-invariant |
L |
6.938994236661 |
L(r)(E,1)/r! |
Ω |
1.2775951168275 |
Real period |
R |
0.6789117054052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46512d1 7752j1 |
Quadratic twists by: -4 -3 |