Atkin-Lehner |
2+ 7+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97552b |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23296 |
Modular degree for the optimal curve |
Δ |
-104575744 = -1 · 28 · 7 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ 2 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,492] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] |
Generators of the group modulo torsion |
j |
27648/408499 |
j-invariant |
L |
7.7154440221681 |
L(r)(E,1)/r! |
Ω |
1.4872945290218 |
Real period |
R |
2.5937848473728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48776b1 |
Quadratic twists by: -4 |