Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470be |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
15886672568112500 = 22 · 55 · 72 · 1110 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-395266972,3024809938571] |
[a1,a2,a3,a4,a6] |
Generators |
[11481:-5321:1] |
Generators of the group modulo torsion |
j |
3855131356812007128171561/8967612500 |
j-invariant |
L |
6.5784894706251 |
L(r)(E,1)/r! |
Ω |
0.18157534165458 |
Real period |
R |
1.8115040871408 |
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 |
67760bx4 76230bh4 42350f4 59290cq4 |
Quadratic twists by: -4 -3 5 -7 |