Atkin-Lehner |
7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
66101l |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
366240 |
Modular degree for the optimal curve |
Δ |
-19651762719323 = -1 · 79 · 193 · 71 |
Discriminant |
Eigenvalues |
-2 -1 0 7- 6 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-78318,-8412720] |
[a1,a2,a3,a4,a6] |
j |
-1316532736000/486989 |
j-invariant |
L |
0.85614103834384 |
L(r)(E,1)/r! |
Ω |
0.14269017259301 |
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 |
66101e1 |
Quadratic twists by: -7 |