Atkin-Lehner |
29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
61393b |
Isogeny class |
Conductor |
61393 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
1259240970557 = 297 · 73 |
Discriminant |
Eigenvalues |
2 2 0 -2 3 -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7008,221611] |
[a1,a2,a3,a4,a6] |
j |
64000000/2117 |
j-invariant |
L |
6.8511731823165 |
L(r)(E,1)/r! |
Ω |
0.85639664804216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2117a1 |
Quadratic twists by: 29 |