Atkin-Lehner |
5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116365f |
Isogeny class |
Conductor |
116365 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
2909125 = 53 · 17 · 372 |
Discriminant |
Eigenvalues |
-2 0 5- -1 -2 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] [-3:7:1] |
Generators of the group modulo torsion |
j |
4091904/2125 |
j-invariant |
L |
6.2837093101464 |
L(r)(E,1)/r! |
Ω |
2.0489378872566 |
Real period |
R |
1.0222709934624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116365c1 |
Quadratic twists by: 37 |