Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bz |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1765048320 = -1 · 215 · 34 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,-3820] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/430920 |
j-invariant |
L |
4.2140848863848 |
L(r)(E,1)/r! |
Ω |
0.52676061079859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990s1 127680do1 95760ds1 |
Quadratic twists by: -4 8 -3 |