Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840r |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
12481358400 = 26 · 32 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3106,-67456] |
[a1,a2,a3,a4,a6] |
Generators |
[344:6300:1] |
Generators of the group modulo torsion |
j |
51795008560576/195021225 |
j-invariant |
L |
7.0894346976628 |
L(r)(E,1)/r! |
Ω |
0.63964040381642 |
Real period |
R |
2.7708672930862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000814 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840bg1 127680bs2 |
Quadratic twists by: -4 8 |