Atkin-Lehner |
3+ 5+ 29- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
116145b |
Isogeny class |
Conductor |
116145 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
898279104331575 = 39 · 52 · 295 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -3 -4 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-788618,-269354294] |
[a1,a2,a3,a4,a6] |
Generators |
[-514:271:1] [1690:-57613:1] |
Generators of the group modulo torsion |
j |
2755700150154811803/45637306525 |
j-invariant |
L |
5.3610966800974 |
L(r)(E,1)/r! |
Ω |
0.1602076897803 |
Real period |
R |
1.6731708348077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116145c1 |
Quadratic twists by: -3 |