Atkin-Lehner |
2+ 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494v |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-283808448 = -1 · 26 · 36 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1008,-12096] |
[a1,a2,a3,a4,a6] |
j |
-155460517633/389312 |
j-invariant |
L |
0.8471280149286 |
L(r)(E,1)/r! |
Ω |
0.42356403820219 |
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 |
12166m1 |
Quadratic twists by: -3 |