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 |
Δ |
-12176584187265246 = -1 · 2 · 3 · 76 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-319040,69431039] |
[a1,a2,a3,a4,a6] |
j |
-30526075007211889/103499257854 |
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 |
68208cq2 25578i2 174b2 |
Quadratic twists by: -4 -3 -7 |