Atkin-Lehner |
3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
66063i |
Isogeny class |
Conductor |
66063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
541728 |
Modular degree for the optimal curve |
Δ |
3365955375532749 = 32 · 1910 · 61 |
Discriminant |
Eigenvalues |
2 3- 1 0 -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-43440,-2100823] |
[a1,a2,a3,a4,a6] |
j |
1478656/549 |
j-invariant |
L |
6.1390608856565 |
L(r)(E,1)/r! |
Ω |
0.34105893816396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66063a1 |
Quadratic twists by: -19 |