Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bk |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
21669120 |
Modular degree for the optimal curve |
Δ |
-1.627590971141E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,287738602,488137804328] |
[a1,a2,a3,a4,a6] |
Generators |
[40424:8821560:1] |
Generators of the group modulo torsion |
j |
12290700069462444495239/7592832000000000000 |
j-invariant |
L |
6.4903572882323 |
L(r)(E,1)/r! |
Ω |
0.029295491694595 |
Real period |
R |
6.1541108212278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47190cx1 |
Quadratic twists by: -11 |