Atkin-Lehner |
3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27495i |
Isogeny class |
Conductor |
27495 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
88800 |
Modular degree for the optimal curve |
Δ |
-4349794921875 = -1 · 36 · 510 · 13 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 4 -1 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14277,664227] |
[a1,a2,a3,a4,a6] |
j |
-441475962793984/5966796875 |
j-invariant |
L |
7.7941277778887 |
L(r)(E,1)/r! |
Ω |
0.77941277778894 |
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 |
3055a1 |
Quadratic twists by: -3 |