Atkin-Lehner |
3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
66063h |
Isogeny class |
Conductor |
66063 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3007466651338762257 = 35 · 197 · 614 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8917249,-10249709392] |
[a1,a2,a3,a4,a6] |
Generators |
[-1717:1133:1] [58342:4443619:8] |
Generators of the group modulo torsion |
j |
1666843365742416217/63926247897 |
j-invariant |
L |
6.7112677908906 |
L(r)(E,1)/r! |
Ω |
0.087366076061848 |
Real period |
R |
7.6817777487595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3477a4 |
Quadratic twists by: -19 |