Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bm |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
18683226132480 = 212 · 33 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6933,-78752] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:102:1] |
Generators of the group modulo torsion |
j |
7633736209/3870720 |
j-invariant |
L |
5.2576537107962 |
L(r)(E,1)/r! |
Ω |
0.5520445303054 |
Real period |
R |
1.5873277794841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ea1 210a1 |
Quadratic twists by: -3 13 |