Atkin-Lehner |
3+ 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10065f |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-110715 = -1 · 3 · 5 · 112 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5- 5 11+ 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-100,-354] |
[a1,a2,a3,a4,a6] |
Generators |
[12:5:1] |
Generators of the group modulo torsion |
j |
-111701610496/110715 |
j-invariant |
L |
2.5045879770008 |
L(r)(E,1)/r! |
Ω |
0.75419289626151 |
Real period |
R |
1.6604425667597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30195k1 50325v1 110715i1 |
Quadratic twists by: -3 5 -11 |