Atkin-Lehner |
2- 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950bg |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
45120 |
Modular degree for the optimal curve |
Δ |
-1912158950 = -1 · 2 · 52 · 135 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 6 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,67,2121] |
[a1,a2,a3,a4,a6] |
j |
1329238535/76486358 |
j-invariant |
L |
5.6302948387127 |
L(r)(E,1)/r! |
Ω |
1.1260589681553 |
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 |
66950q1 |
Quadratic twists by: 5 |