Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840w |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5268480 |
Modular degree for the optimal curve |
Δ |
-1.4758616751718E+21 |
Discriminant |
Eigenvalues |
2- 3 5- -1 11+ 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89316187,-324900517366] |
[a1,a2,a3,a4,a6] |
Generators |
[934671:166587200:27] |
Generators of the group modulo torsion |
j |
-19237750463016353596082481/360317791790000000 |
j-invariant |
L |
10.859202873218 |
L(r)(E,1)/r! |
Ω |
0.024554807138388 |
Real period |
R |
7.8972046462773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730k1 |
Quadratic twists by: -4 |