Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
128772l |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-389479736427264 = -1 · 28 · 311 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 4 2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27048,1957844] |
[a1,a2,a3,a4,a6] |
Generators |
[770:3969:8] |
Generators of the group modulo torsion |
j |
-99672064/17739 |
j-invariant |
L |
7.5454152849187 |
L(r)(E,1)/r! |
Ω |
0.51365817513055 |
Real period |
R |
1.8361956603401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42924a1 2628a1 |
Quadratic twists by: -3 -7 |