Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7216a |
Isogeny class |
Conductor |
7216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14016 |
Modular degree for the optimal curve |
Δ |
-572777216 = -1 · 28 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ -3 1 -4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18412,961612] |
[a1,a2,a3,a4,a6] |
Generators |
[81:41:1] |
Generators of the group modulo torsion |
j |
-2696414447748096/2237411 |
j-invariant |
L |
2.1035250110059 |
L(r)(E,1)/r! |
Ω |
1.3639415363798 |
Real period |
R |
0.77111993252627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3608d1 28864v1 64944w1 79376l1 |
Quadratic twists by: -4 8 -3 -11 |