Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168w |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-815358394368 = -1 · 214 · 32 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369,-43407] |
[a1,a2,a3,a4,a6] |
Generators |
[81:672:1] |
Generators of the group modulo torsion |
j |
-340062928/49765527 |
j-invariant |
L |
5.2219565704317 |
L(r)(E,1)/r! |
Ω |
0.39705694208973 |
Real period |
R |
1.0959713870357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cv2 7896c2 |
Quadratic twists by: -4 8 |