Atkin-Lehner |
2+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150b |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-42430472000000000 = -1 · 212 · 59 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50250,10796500] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:1646:1] [45:-2960:1] |
Generators of the group modulo torsion |
j |
-374053074241/1131008000 |
j-invariant |
L |
7.4137187207579 |
L(r)(E,1)/r! |
Ω |
0.31778397461436 |
Real period |
R |
1.4580893217828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23030t1 115150g1 |
Quadratic twists by: 5 -7 |