Atkin-Lehner |
2- 3+ 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818z |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256256 |
Modular degree for the optimal curve |
Δ |
-335491653168 = -1 · 24 · 33 · 77 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,478,-27695] |
[a1,a2,a3,a4,a6] |
j |
448224034077/12425616784 |
j-invariant |
L |
3.7181287761648 |
L(r)(E,1)/r! |
Ω |
0.46476591795453 |
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 |
118818a1 |
Quadratic twists by: -3 |