Atkin-Lehner |
2- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23128q |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-161017136 = -1 · 24 · 72 · 593 |
Discriminant |
Eigenvalues |
2- 0 1 7- 2 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98,-483] |
[a1,a2,a3,a4,a6] |
Generators |
[22:111:1] |
Generators of the group modulo torsion |
j |
132765696/205379 |
j-invariant |
L |
5.7461322829386 |
L(r)(E,1)/r! |
Ω |
0.96087405646199 |
Real period |
R |
2.9900548590605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46256o1 23128p1 |
Quadratic twists by: -4 -7 |