Atkin-Lehner |
3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66309d |
Isogeny class |
Conductor |
66309 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1588936002752583 = -1 · 34 · 23 · 318 |
Discriminant |
Eigenvalues |
1 3+ -2 2 0 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27369,-789264] |
[a1,a2,a3,a4,a6] |
Generators |
[3022899472:-53754824169:20123648] |
Generators of the group modulo torsion |
j |
2554497863/1790343 |
j-invariant |
L |
6.2392471358908 |
L(r)(E,1)/r! |
Ω |
0.26817037337812 |
Real period |
R |
11.632991104638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139f1 |
Quadratic twists by: -31 |