Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dq |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
2493083560181760 = 230 · 36 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172227,27405506] |
[a1,a2,a3,a4,a6] |
Generators |
[655:13986:1] |
Generators of the group modulo torsion |
j |
189208196468929/834928640 |
j-invariant |
L |
6.7121883308724 |
L(r)(E,1)/r! |
Ω |
0.45993074810001 |
Real period |
R |
3.6484777102671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190x1 7280o1 |
Quadratic twists by: -4 -3 |