Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
102608k |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-147939393536 = -1 · 221 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3 1 -2 11+ 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2827,-60742] |
[a1,a2,a3,a4,a6] |
Generators |
[34023:1206656:27] |
Generators of the group modulo torsion |
j |
-458314011/27136 |
j-invariant |
L |
13.612769786229 |
L(r)(E,1)/r! |
Ω |
0.32624964288207 |
Real period |
R |
5.2156263124397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826e1 102608j1 |
Quadratic twists by: -4 -11 |