Atkin-Lehner |
2+ 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
18382d |
Isogeny class |
Conductor |
18382 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6688 |
Modular degree for the optimal curve |
Δ |
-131762176 = -1 · 211 · 72 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 4 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53,-576] |
[a1,a2,a3,a4,a6] |
Generators |
[14:31:1] |
Generators of the group modulo torsion |
j |
-16022066761/131762176 |
j-invariant |
L |
3.1611990983401 |
L(r)(E,1)/r! |
Ω |
0.78007448560633 |
Real period |
R |
2.0262161861908 |
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 |
128674i1 |
Quadratic twists by: -7 |