Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706i |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-7010306289116069888 = -1 · 214 · 133 · 417 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-288326,140516116] |
[a1,a2,a3,a4,a6] |
Generators |
[495:10679:1] [-324:14306:1] |
Generators of the group modulo torsion |
j |
-558051585337/1475821568 |
j-invariant |
L |
4.8099380998338 |
L(r)(E,1)/r! |
Ω |
0.20845217534587 |
Real period |
R |
0.96143917500742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066b1 |
Quadratic twists by: 41 |