Atkin-Lehner |
2- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144n |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
4461787904 = 28 · 75 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -6 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-460,-2184] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
42140629456/17428859 |
j-invariant |
L |
3.1979644967588 |
L(r)(E,1)/r! |
Ω |
1.0689981157745 |
Real period |
R |
2.9915529532535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036h1 |
Quadratic twists by: -4 |