Atkin-Lehner |
3- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49077a |
Isogeny class |
Conductor |
49077 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
455936 |
Modular degree for the optimal curve |
Δ |
-842928966680283 = -1 · 319 · 72 · 192 · 41 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ 3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-231411,-42870128] |
[a1,a2,a3,a4,a6] |
j |
-1879958147933605888/1156281161427 |
j-invariant |
L |
0.87065786110711 |
L(r)(E,1)/r! |
Ω |
0.10883223262331 |
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 |
16359a1 |
Quadratic twists by: -3 |