Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288f |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-246514688 = -1 · 210 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- -1 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,-736] |
[a1,a2,a3,a4,a6] |
Generators |
[11:34:1] [20:92:1] |
Generators of the group modulo torsion |
j |
28 |
j-invariant |
L |
10.252288949206 |
L(r)(E,1)/r! |
Ω |
0.84443416856041 |
Real period |
R |
3.0352540576716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288c1 113288j1 |
Quadratic twists by: -7 17 |