Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ee |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-164677208014800 = -1 · 24 · 38 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 13+ 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3010,-614883] |
[a1,a2,a3,a4,a6] |
Generators |
[75:131:1] |
Generators of the group modulo torsion |
j |
34295/1872 |
j-invariant |
L |
10.649841896362 |
L(r)(E,1)/r! |
Ω |
0.27443506692369 |
Real period |
R |
1.2127005594769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350a1 76050cn1 5850o1 |
Quadratic twists by: -3 5 13 |