Atkin-Lehner |
2- 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650dc |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-6763346887500000 = -1 · 25 · 32 · 58 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-98013,-12463983] |
[a1,a2,a3,a4,a6] |
j |
-266572289169265/17314168032 |
j-invariant |
L |
4.0322084362512 |
L(r)(E,1)/r! |
Ω |
0.13440694703095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650g1 |
Quadratic twists by: 5 |