Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79184o |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-152632007327744 = -1 · 218 · 78 · 101 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10176,-447488] |
[a1,a2,a3,a4,a6] |
j |
4934783/6464 |
j-invariant |
L |
2.4659729674573 |
L(r)(E,1)/r! |
Ω |
0.3082466252855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9898c1 79184z1 |
Quadratic twists by: -4 -7 |