Atkin-Lehner |
2+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
119306i |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
13589945110962286 = 2 · 117 · 17 · 295 |
Discriminant |
Eigenvalues |
2+ -1 3 4 11- -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-191666,31726798] |
[a1,a2,a3,a4,a6] |
Generators |
[-423:6322:1] |
Generators of the group modulo torsion |
j |
439548072327937/7671169726 |
j-invariant |
L |
5.6637727180534 |
L(r)(E,1)/r! |
Ω |
0.39780982731944 |
Real period |
R |
3.5593469635942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998485531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10846b1 |
Quadratic twists by: -11 |