Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654bg |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-938240509826214 = -1 · 2 · 39 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72308,7645645] |
[a1,a2,a3,a4,a6] |
j |
-14348907/322 |
j-invariant |
L |
3.9689541812376 |
L(r)(E,1)/r! |
Ω |
0.4961192729789 |
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 |
66654d1 2898k1 |
Quadratic twists by: -3 -23 |