Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840o |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-53628694592000000 = -1 · 212 · 56 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32856,-11386156] |
[a1,a2,a3,a4,a6] |
Generators |
[4804:332750:1] |
Generators of the group modulo torsion |
j |
-957681397954009/13092943015625 |
j-invariant |
L |
5.4742691650949 |
L(r)(E,1)/r! |
Ω |
0.15152455434537 |
Real period |
R |
1.290283372776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2365a1 |
Quadratic twists by: -4 |