Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ge |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-31968120877056 = -1 · 212 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7056,-148176] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1323:1] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
4.4783640259639 |
L(r)(E,1)/r! |
Ω |
0.36426401299023 |
Real period |
R |
1.5367850883128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5733l1 10192bh1 13104ce1 |
Quadratic twists by: -4 -3 -7 |