Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632m |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-592058668032 = -1 · 210 · 36 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -3 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-155312,-23507268] |
[a1,a2,a3,a4,a6] |
Generators |
[47598892:680747193:85184] |
Generators of the group modulo torsion |
j |
-1120816166918692/1601613 |
j-invariant |
L |
6.0542955324255 |
L(r)(E,1)/r! |
Ω |
0.1202452793661 |
Real period |
R |
12.587387130634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112632h1 |
Quadratic twists by: -19 |