Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
74360v |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-4720117187500000000 = -1 · 28 · 517 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,418375,-8921875] |
[a1,a2,a3,a4,a6] |
Generators |
[1375:56250:1] |
Generators of the group modulo torsion |
j |
14399580097897472/8392333984375 |
j-invariant |
L |
10.697949047744 |
L(r)(E,1)/r! |
Ω |
0.14411351603438 |
Real period |
R |
1.0916587452739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74360c1 |
Quadratic twists by: 13 |