Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680r |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2173265640000 = 26 · 38 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9506,-352800] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:84:1] |
Generators of the group modulo torsion |
j |
1484509063830976/33957275625 |
j-invariant |
L |
6.0562359360694 |
L(r)(E,1)/r! |
Ω |
0.4841736746186 |
Real period |
R |
1.5635494693176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680ba1 87360bs2 |
Quadratic twists by: -4 8 |