Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cc |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
546 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-1531221120000000 = -1 · 213 · 32 · 57 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57395,5593457] |
[a1,a2,a3,a4,a6] |
Generators |
[747:19126:1] |
Generators of the group modulo torsion |
j |
-172806866567322361/12654720000000 |
j-invariant |
L |
7.8683164298968 |
L(r)(E,1)/r! |
Ω |
0.46802538973898 |
Real period |
R |
0.030790714068361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190n1 |
Quadratic twists by: -11 |