Atkin-Lehner |
2+ 3+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790i |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35136 |
Modular degree for the optimal curve |
Δ |
-3597068250 = -1 · 2 · 39 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-474,5030] |
[a1,a2,a3,a4,a6] |
Generators |
[1:67:1] |
Generators of the group modulo torsion |
j |
-599077107/182750 |
j-invariant |
L |
3.7888944150969 |
L(r)(E,1)/r! |
Ω |
1.3286436215566 |
Real period |
R |
0.47528350889817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790bq1 |
Quadratic twists by: -3 |