Atkin-Lehner |
2+ 5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
23690a |
Isogeny class |
Conductor |
23690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4576 |
Modular degree for the optimal curve |
Δ |
-544870 = -1 · 2 · 5 · 232 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 5 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-37] |
[a1,a2,a3,a4,a6] |
j |
-4826809/544870 |
j-invariant |
L |
2.589559819059 |
L(r)(E,1)/r! |
Ω |
1.2947799095295 |
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 |
118450m1 |
Quadratic twists by: 5 |