Atkin-Lehner |
2+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616d |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
1271738029639204864 = 240 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -3 1 11+ -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1430284,-656147984] |
[a1,a2,a3,a4,a6] |
Generators |
[1982:65536:1] |
Generators of the group modulo torsion |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
2.2080642255319 |
L(r)(E,1)/r! |
Ω |
0.13808504645409 |
Real period |
R |
1.998826341289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616bf1 1738c1 |
Quadratic twists by: -4 8 |