Atkin-Lehner |
7- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
66493b |
Isogeny class |
Conductor |
66493 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-3890184069331 = -1 · 77 · 23 · 593 |
Discriminant |
Eigenvalues |
2 0 1 7- 1 -3 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1813,90123] |
[a1,a2,a3,a4,a6] |
j |
5601816576/33066019 |
j-invariant |
L |
2.2685332715662 |
L(r)(E,1)/r! |
Ω |
0.56713331639083 |
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 |
9499c1 |
Quadratic twists by: -7 |