Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990c |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.0252068819291E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15246723,155739341133] |
[a1,a2,a3,a4,a6] |
Generators |
[25008539037:2331838217444:5545233] |
Generators of the group modulo torsion |
j |
-391970413583429733188386489/10252068819290850263040000 |
j-invariant |
L |
2.1646271697116 |
L(r)(E,1)/r! |
Ω |
0.060555795221155 |
Real period |
R |
17.872997636363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920bt2 127680cy2 11970ca2 19950cx2 |
Quadratic twists by: -4 8 -3 5 |