Atkin-Lehner |
2- 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950bb |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
154560 |
Modular degree for the optimal curve |
Δ |
-17239625000 = -1 · 23 · 56 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- -3 5+ -5 -4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,645,147] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-110:1] |
Generators of the group modulo torsion |
j |
1902014919/1103336 |
j-invariant |
L |
3.1875692844307 |
L(r)(E,1)/r! |
Ω |
0.74034401247509 |
Real period |
R |
0.71758741665242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678c1 |
Quadratic twists by: 5 |