Atkin-Lehner |
2+ 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63984m |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-12281856768 = -1 · 28 · 33 · 312 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-300,-5796] |
[a1,a2,a3,a4,a6] |
Generators |
[54:372:1] |
Generators of the group modulo torsion |
j |
-11702923216/47976003 |
j-invariant |
L |
3.3382753175857 |
L(r)(E,1)/r! |
Ω |
0.52264708270046 |
Real period |
R |
1.0645409454423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31992h2 |
Quadratic twists by: -4 |