Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526o |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
10584 |
Modular degree for the optimal curve |
Δ |
-955091523456 = -1 · 27 · 37 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-47041] |
[a1,a2,a3,a4,a6] |
j |
-117649/8118144 |
j-invariant |
L |
2.8186226505634 |
L(r)(E,1)/r! |
Ω |
0.40266037865191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208cq1 25578i1 174b1 |
Quadratic twists by: -4 -3 -7 |