Atkin-Lehner |
3- 5- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115785l |
Isogeny class |
Conductor |
115785 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
5887501691923125 = 312 · 54 · 31 · 833 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -2 3 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-47442,-1480118] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:821:1] [-1294:11201:8] |
Generators of the group modulo torsion |
j |
16198886085197824/8076134008125 |
j-invariant |
L |
9.5382427883089 |
L(r)(E,1)/r! |
Ω |
0.34063006043919 |
Real period |
R |
1.1667401939951 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38595a1 |
Quadratic twists by: -3 |