Atkin-Lehner |
2- 3+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
64464f |
Isogeny class |
Conductor |
64464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
1095888 = 24 · 3 · 172 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,-212] |
[a1,a2,a3,a4,a6] |
j |
2725888000/68493 |
j-invariant |
L |
0.81697659274386 |
L(r)(E,1)/r! |
Ω |
1.6339532093831 |
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 |
16116b1 |
Quadratic twists by: -4 |