Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280bc |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
55814400 = 28 · 33 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303,-1998] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2:1] |
Generators of the group modulo torsion |
j |
445090032/8075 |
j-invariant |
L |
5.5628487822915 |
L(r)(E,1)/r! |
Ω |
1.1455582330626 |
Real period |
R |
1.2140039197369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116280e1 |
Quadratic twists by: -3 |