Atkin-Lehner |
2+ 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123624f |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
320433408 = 28 · 36 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 -3 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-5420] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:5:1] |
Generators of the group modulo torsion |
j |
120472576/1717 |
j-invariant |
L |
9.1114304511402 |
L(r)(E,1)/r! |
Ω |
0.97035355003613 |
Real period |
R |
2.3474512124511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13736g1 |
Quadratic twists by: -3 |