Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800bf |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-194940000000 = -1 · 28 · 33 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,492,20988] |
[a1,a2,a3,a4,a6] |
Generators |
[3:150:1] |
Generators of the group modulo torsion |
j |
3286064/48735 |
j-invariant |
L |
6.5096897282822 |
L(r)(E,1)/r! |
Ω |
0.74686428774809 |
Real period |
R |
1.4526712628319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400x1 91200fh1 68400cc1 4560e1 |
Quadratic twists by: -4 8 -3 5 |