Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944x |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2619584 = -1 · 26 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3 -1 2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6238,-189634] |
[a1,a2,a3,a4,a6] |
Generators |
[13300343752848:-51433580443717:135479955456] |
Generators of the group modulo torsion |
j |
-419449662614016/40931 |
j-invariant |
L |
10.744511038951 |
L(r)(E,1)/r! |
Ω |
0.26860136406935 |
Real period |
R |
20.000849727957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944q1 21472e1 |
Quadratic twists by: -4 8 |