Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18590n |
Isogeny class |
Conductor |
18590 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4111668978560 = -1 · 27 · 5 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 1 5- -5 11+ 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14960,709760] |
[a1,a2,a3,a4,a6] |
Generators |
[92:292:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
8.0235749638759 |
L(r)(E,1)/r! |
Ω |
0.78383960831213 |
Real period |
R |
0.73116042024696 |
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 |
92950c1 110c1 |
Quadratic twists by: 5 13 |