Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990d |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
65520 |
Modular degree for the optimal curve |
Δ |
-1902001541078016000 = -1 · 213 · 37 · 53 · 73 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,81267,65785437] |
[a1,a2,a3,a4,a6] |
j |
59355100650962613671/1902001541078016000 |
j-invariant |
L |
0.99226976334126 |
L(r)(E,1)/r! |
Ω |
0.19845395266825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31920bq1 127680cr1 11970cb1 19950cz1 |
Quadratic twists by: -4 8 -3 5 |