Atkin-Lehner |
2+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
43424b |
Isogeny class |
Conductor |
43424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-5124032 = -1 · 26 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11,-108] |
[a1,a2,a3,a4,a6] |
j |
2299968/80063 |
j-invariant |
L |
1.1666191794069 |
L(r)(E,1)/r! |
Ω |
1.1666191794187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43424f1 86848a2 |
Quadratic twists by: -4 8 |