Atkin-Lehner |
2+ 7+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618d |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-375470158524076 = -1 · 22 · 7 · 1111 · 47 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 11- 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2821,-931199] |
[a1,a2,a3,a4,a6] |
j |
1401168159/211943116 |
j-invariant |
L |
1.0127140198982 |
L(r)(E,1)/r! |
Ω |
0.25317849772358 |
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 |
7238f1 |
Quadratic twists by: -11 |