Atkin-Lehner |
2+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840d |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
118250000 = 24 · 56 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 11- -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-467,3849] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-25:1] |
Generators of the group modulo torsion |
j |
703970355456/7390625 |
j-invariant |
L |
4.3069628876678 |
L(r)(E,1)/r! |
Ω |
1.8737628710927 |
Real period |
R |
0.38309391173161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18920c1 |
Quadratic twists by: -4 |