Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fe |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-24948202500000 = -1 · 25 · 310 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1113755,452688747] |
[a1,a2,a3,a4,a6] |
Generators |
[599:150:1] |
Generators of the group modulo torsion |
j |
-79370312059129/12960 |
j-invariant |
L |
6.5583537122493 |
L(r)(E,1)/r! |
Ω |
0.52709625536812 |
Real period |
R |
0.31106053416025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350j1 15210p1 76050bw1 |
Quadratic twists by: -3 5 13 |