Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354v |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-822747856896 = -1 · 219 · 33 · 7 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 -1 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-970,44759] |
[a1,a2,a3,a4,a6] |
Generators |
[73:571:1] |
Generators of the group modulo torsion |
j |
-100940836056481/822747856896 |
j-invariant |
L |
6.8063673549381 |
L(r)(E,1)/r! |
Ω |
0.76478758614994 |
Real period |
R |
0.23420219370296 |
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 |
55062s1 128478cn1 |
Quadratic twists by: -3 -7 |