Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cm |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-513454878720 = -1 · 212 · 36 · 5 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2261,54621] |
[a1,a2,a3,a4,a6] |
Generators |
[68:459:1] |
Generators of the group modulo torsion |
j |
-312217698304/125355195 |
j-invariant |
L |
4.3449894925469 |
L(r)(E,1)/r! |
Ω |
0.87119419407715 |
Real period |
R |
0.83123248564756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1785l1 114240km1 85680fb1 |
Quadratic twists by: -4 8 -3 |