Atkin-Lehner |
2- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71440j |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
505344 |
Modular degree for the optimal curve |
Δ |
-122501740000000 = -1 · 28 · 57 · 194 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 -1 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-347341,-78909705] |
[a1,a2,a3,a4,a6] |
j |
-18103108236937437184/478522421875 |
j-invariant |
L |
0.78662860928594 |
L(r)(E,1)/r! |
Ω |
0.0983285768469 |
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 |
17860a1 |
Quadratic twists by: -4 |