Atkin-Lehner |
2+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7216b |
Isogeny class |
Conductor |
7216 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-873136 = -1 · 24 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11- 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-422,-3337] |
[a1,a2,a3,a4,a6] |
j |
-519446808576/54571 |
j-invariant |
L |
1.5800104657369 |
L(r)(E,1)/r! |
Ω |
0.52667015524564 |
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 |
3608a1 28864l1 64944o1 79376h1 |
Quadratic twists by: -4 8 -3 -11 |