Atkin-Lehner |
3- 5+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115785g |
Isogeny class |
Conductor |
115785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290816 |
Modular degree for the optimal curve |
Δ |
109026050625 = 37 · 54 · 312 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29273,-1920328] |
[a1,a2,a3,a4,a6] |
Generators |
[13572:1574167:1] |
Generators of the group modulo torsion |
j |
3805256821759561/149555625 |
j-invariant |
L |
4.8963065826773 |
L(r)(E,1)/r! |
Ω |
0.3649933313595 |
Real period |
R |
6.7073917953329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38595i1 |
Quadratic twists by: -3 |