Atkin-Lehner |
3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513f |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-813146499 = -1 · 33 · 116 · 17 |
Discriminant |
Eigenvalues |
2 3+ -1 2 11- 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,-2995] |
[a1,a2,a3,a4,a6] |
Generators |
[367686:1699849:10648] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
10.257100174375 |
L(r)(E,1)/r! |
Ω |
0.54228604840102 |
Real period |
R |
9.4572783170606 |
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 |
18513c1 153a1 |
Quadratic twists by: -3 -11 |