Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370m |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1847811658860800 = 28 · 52 · 17 · 198 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39778,2256481] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1897:1] |
Generators of the group modulo torsion |
j |
147951952569/39276800 |
j-invariant |
L |
9.730707922628 |
L(r)(E,1)/r! |
Ω |
0.43843825694703 |
Real period |
R |
1.3871263183018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3230a1 |
Quadratic twists by: -19 |