Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810ck |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-29786447335034880 = -1 · 212 · 313 · 5 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-154335,-24834555] |
[a1,a2,a3,a4,a6] |
Generators |
[465:1820:1] |
Generators of the group modulo torsion |
j |
-3119627664954721/228562145280 |
j-invariant |
L |
8.5038878407155 |
L(r)(E,1)/r! |
Ω |
0.11992980758035 |
Real period |
R |
5.9089340210018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bp1 |
Quadratic twists by: -19 |