Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bv |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-89903224555200 = -1 · 26 · 33 · 52 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14306,-805956] |
[a1,a2,a3,a4,a6] |
Generators |
[274:3990:1] |
Generators of the group modulo torsion |
j |
-5059746485603776/1404737883675 |
j-invariant |
L |
8.1451335710843 |
L(r)(E,1)/r! |
Ω |
0.21516281224971 |
Real period |
R |
0.78865990341254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bb1 127680ep2 |
Quadratic twists by: -4 8 |