Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670n |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-46126640000 = -1 · 27 · 54 · 73 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8686,308139] |
[a1,a2,a3,a4,a6] |
Generators |
[39:155:1] |
Generators of the group modulo torsion |
j |
-43114027929169/27440000 |
j-invariant |
L |
7.3664120004019 |
L(r)(E,1)/r! |
Ω |
1.1229381415384 |
Real period |
R |
0.15618915721226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117670l1 |
Quadratic twists by: 41 |