Atkin-Lehner |
2+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
42848g |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-156644061184 = -1 · 212 · 135 · 103 |
Discriminant |
Eigenvalues |
2+ 0 3 -2 -4 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-536,19632] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:156:1] |
Generators of the group modulo torsion |
j |
-4157747712/38243179 |
j-invariant |
L |
6.4352106887885 |
L(r)(E,1)/r! |
Ω |
0.8757254470906 |
Real period |
R |
0.734843404421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42848d1 85696bu1 |
Quadratic twists by: -4 8 |