Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18850u |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-161920267059200 = -1 · 234 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10475868,-13051553008] |
[a1,a2,a3,a4,a6] |
Generators |
[14008:1602020:1] |
Generators of the group modulo torsion |
j |
-5085735371462945338910185/6476810682368 |
j-invariant |
L |
8.3021160474066 |
L(r)(E,1)/r! |
Ω |
0.041958702931024 |
Real period |
R |
5.819528886502 |
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 |
18850i1 |
Quadratic twists by: 5 |