Atkin-Lehner |
2+ 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280d |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-66279600 = -1 · 24 · 33 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78,473] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-15:1] |
Generators of the group modulo torsion |
j |
-121485312/153425 |
j-invariant |
L |
4.8030870869868 |
L(r)(E,1)/r! |
Ω |
1.7692457242134 |
Real period |
R |
0.67869135193735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116280be1 |
Quadratic twists by: -3 |