Atkin-Lehner |
2+ 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562i |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
116963316541764 = 22 · 310 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19818,944320] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1406:1] |
Generators of the group modulo torsion |
j |
1180831643443873/160443506916 |
j-invariant |
L |
2.3999077214697 |
L(r)(E,1)/r! |
Ω |
0.56815030897719 |
Real period |
R |
0.52800898009501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854l2 |
Quadratic twists by: -3 |