Atkin-Lehner |
3- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
69531h |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-14491816509968259 = -1 · 3 · 78 · 117 · 43 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 11+ 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6403,5790656] |
[a1,a2,a3,a4,a6] |
j |
5035261952/2513845059 |
j-invariant |
L |
3.6901627239432 |
L(r)(E,1)/r! |
Ω |
0.30751355898835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69531d1 |
Quadratic twists by: -7 |