Atkin-Lehner |
2+ 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410i |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
2374841139200 = 220 · 52 · 17 · 732 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46842,-3921004] |
[a1,a2,a3,a4,a6] |
j |
11366964089457630121/2374841139200 |
j-invariant |
L |
2.5961807285763 |
L(r)(E,1)/r! |
Ω |
0.32452259107204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99280be1 111690bl1 62050t1 |
Quadratic twists by: -4 -3 5 |