Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cm |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-39481495200000000 = -1 · 211 · 33 · 58 · 73 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,77987,4628531] |
[a1,a2,a3,a4,a6] |
Generators |
[835:25132:1] |
Generators of the group modulo torsion |
j |
134285763305615/101072627712 |
j-invariant |
L |
8.5409044060067 |
L(r)(E,1)/r! |
Ω |
0.23244708698333 |
Real period |
R |
0.18557290348351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650y1 |
Quadratic twists by: 5 |