Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bo |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
50301455965200 = 24 · 35 · 52 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-503061,137291985] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:16401:1] |
Generators of the group modulo torsion |
j |
299270638153369/1069200 |
j-invariant |
L |
12.356864185919 |
L(r)(E,1)/r! |
Ω |
0.5549233524157 |
Real period |
R |
1.1133847664357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330a1 |
Quadratic twists by: -19 |