Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bb |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
48573594213171200 = 214 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93347,2839714] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:3440:1] |
Generators of the group modulo torsion |
j |
185193/100 |
j-invariant |
L |
5.217247845712 |
L(r)(E,1)/r! |
Ω |
0.31195433499363 |
Real period |
R |
4.1810990107083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2890g1 92480cy1 115600be1 23120o1 |
Quadratic twists by: -4 8 5 17 |