Atkin-Lehner |
5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
34445b |
Isogeny class |
Conductor |
34445 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10920 |
Modular degree for the optimal curve |
Δ |
21528125 = 55 · 832 |
Discriminant |
Eigenvalues |
2 0 5+ -2 3 -6 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-83,-187] |
[a1,a2,a3,a4,a6] |
j |
9179136/3125 |
j-invariant |
L |
1.625389326577 |
L(r)(E,1)/r! |
Ω |
1.6253893265895 |
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 |
34445c1 |
Quadratic twists by: -83 |