Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050u |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-446935869500000 = -1 · 25 · 56 · 197 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 2 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-1017219] |
[a1,a2,a3,a4,a6] |
Generators |
[435:8807:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
5.3598087991643 |
L(r)(E,1)/r! |
Ω |
0.24171664426595 |
Real period |
R |
1.1086966756967 |
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 |
722c1 950a1 |
Quadratic twists by: 5 -19 |