Atkin-Lehner |
3- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19383d |
Isogeny class |
Conductor |
19383 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
2756160 |
Modular degree for the optimal curve |
Δ |
-7.8212922855694E+23 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9015461,41257420489] |
[a1,a2,a3,a4,a6] |
j |
81037769884733330452348928/782129228556935274299739 |
j-invariant |
L |
3.9478808467308 |
L(r)(E,1)/r! |
Ω |
0.065798014112181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58149i1 |
Quadratic twists by: -3 |