Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840ba |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
450 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-4211844399000000000 = -1 · 29 · 35 · 59 · 7 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189560,103661208] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:10830:1] |
Generators of the group modulo torsion |
j |
-1471282747172521928/8226258591796875 |
j-invariant |
L |
9.3476712609425 |
L(r)(E,1)/r! |
Ω |
0.21302653759135 |
Real period |
R |
0.097511807857351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840j1 127680dx1 |
Quadratic twists by: -4 8 |