Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bg |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
60844089600 = 28 · 310 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-978087,-372318266] |
[a1,a2,a3,a4,a6] |
Generators |
[1193:12600:1] |
Generators of the group modulo torsion |
j |
554483565352358224/326025 |
j-invariant |
L |
5.9253372048784 |
L(r)(E,1)/r! |
Ω |
0.15181167884361 |
Real period |
R |
4.8788548541642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000235723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960y1 38640q1 |
Quadratic twists by: -4 -3 |