Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bi |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
-112324739904 = -1 · 26 · 39 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-382676,90988626] |
[a1,a2,a3,a4,a6] |
Generators |
[325:1026:1] |
Generators of the group modulo torsion |
j |
-96836380962843416896/1755074061 |
j-invariant |
L |
5.4246356365287 |
L(r)(E,1)/r! |
Ω |
0.75561789646037 |
Real period |
R |
0.26589157287527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424g1 23712m1 |
Quadratic twists by: -4 8 |