Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168r |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-15753294692352 = -1 · 214 · 33 · 73 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75012533,-250037665107] |
[a1,a2,a3,a4,a6] |
j |
-2849084113585289344000000/961504803 |
j-invariant |
L |
0.69254797669398 |
L(r)(E,1)/r! |
Ω |
0.025649925073514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63168db2 3948e2 |
Quadratic twists by: -4 8 |