Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706x |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-4358108310652408832 = -1 · 210 · 13 · 419 |
Discriminant |
Eigenvalues |
2- -3 2 2 2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1275354,-563069415] |
[a1,a2,a3,a4,a6] |
Generators |
[25205:3984815:1] |
Generators of the group modulo torsion |
j |
-48296148523713/917476352 |
j-invariant |
L |
7.244648386721 |
L(r)(E,1)/r! |
Ω |
0.070953321580244 |
Real period |
R |
2.5526107253955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066d1 |
Quadratic twists by: 41 |