Atkin-Lehner |
2- 3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954ch |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-58972166368690176 = -1 · 215 · 35 · 77 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15632,11706624] |
[a1,a2,a3,a4,a6] |
Generators |
[340:6592:1] [-212:2452:1] |
Generators of the group modulo torsion |
j |
-3590714269297/501255143424 |
j-invariant |
L |
16.686968119746 |
L(r)(E,1)/r! |
Ω |
0.28792485149076 |
Real period |
R |
0.09659330685118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422p1 |
Quadratic twists by: -7 |