Atkin-Lehner |
3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114975be |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1018606640625 = -1 · 36 · 58 · 72 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 3 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18117,-935334] |
[a1,a2,a3,a4,a6] |
Generators |
[133972:6048501:64] |
Generators of the group modulo torsion |
j |
-2309449585/3577 |
j-invariant |
L |
7.8034834235848 |
L(r)(E,1)/r! |
Ω |
0.20573422467658 |
Real period |
R |
9.4824809318133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999660618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12775j1 114975bb1 |
Quadratic twists by: -3 5 |