Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19344k |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-10141827072 = -1 · 223 · 3 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 4 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,4848] |
[a1,a2,a3,a4,a6] |
Generators |
[84:768:1] |
Generators of the group modulo torsion |
j |
-15625/2476032 |
j-invariant |
L |
5.165960122252 |
L(r)(E,1)/r! |
Ω |
1.0256517748155 |
Real period |
R |
1.2591895829316 |
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 |
2418a1 77376bq1 58032y1 |
Quadratic twists by: -4 8 -3 |