Atkin-Lehner |
2+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118490i |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
11440242203240000 = 26 · 54 · 178 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-90607,9112101] |
[a1,a2,a3,a4,a6] |
Generators |
[-9006:46003:27] |
Generators of the group modulo torsion |
j |
3408183162649/473960000 |
j-invariant |
L |
8.950445579467 |
L(r)(E,1)/r! |
Ω |
0.38747850317956 |
Real period |
R |
5.7748013846811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970c1 |
Quadratic twists by: 17 |