Atkin-Lehner |
2+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7216c |
Isogeny class |
Conductor |
7216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-461824 = -1 · 210 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -1 -1 11- -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] [0:6:1] |
Generators of the group modulo torsion |
j |
-470596/451 |
j-invariant |
L |
3.8561057996556 |
L(r)(E,1)/r! |
Ω |
2.7007616019797 |
Real period |
R |
0.35694614778558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3608b1 28864o1 64944n1 79376k1 |
Quadratic twists by: -4 8 -3 -11 |