Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
61268a |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
5567475115264 = 28 · 177 · 53 |
Discriminant |
Eigenvalues |
2- -1 1 0 -2 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6165,149809] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:353:1] [-45:578:1] |
Generators of the group modulo torsion |
j |
4194304/901 |
j-invariant |
L |
8.8326827687477 |
L(r)(E,1)/r! |
Ω |
0.71891218155074 |
Real period |
R |
1.0238481365118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3604a1 |
Quadratic twists by: 17 |