Atkin-Lehner |
2- 3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bx |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-227743700625000000 = -1 · 26 · 36 · 510 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,91348,20330479] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-4369:1] [-113:2981:1] |
Generators of the group modulo torsion |
j |
115637254142708871/312405625000000 |
j-invariant |
L |
14.999765263226 |
L(r)(E,1)/r! |
Ω |
0.22030589495074 |
Real period |
R |
0.5673840179731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7070a2 |
Quadratic twists by: -3 |