Atkin-Lehner |
2+ 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950s |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1380480 |
Modular degree for the optimal curve |
Δ |
-173081744381780000 = -1 · 25 · 54 · 138 · 1032 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,77783,18172141] |
[a1,a2,a3,a4,a6] |
Generators |
[959:1470412:343] |
Generators of the group modulo torsion |
j |
83271161461415175/276930791010848 |
j-invariant |
L |
2.2749655693469 |
L(r)(E,1)/r! |
Ω |
0.22749349769217 |
Real period |
R |
2.5000336191635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66950bf1 |
Quadratic twists by: 5 |