Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12635f |
Isogeny class |
Conductor |
12635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-31285510865 = -1 · 5 · 7 · 197 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 0 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,-13643] |
[a1,a2,a3,a4,a6] |
j |
-1771561/665 |
j-invariant |
L |
1.7065575416175 |
L(r)(E,1)/r! |
Ω |
0.42663938540437 |
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 |
113715s1 63175f1 88445q1 665c1 |
Quadratic twists by: -3 5 -7 -19 |