Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
75140h |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
9015140645810000 = 24 · 54 · 133 · 177 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3595545,2625384482] |
[a1,a2,a3,a4,a6] |
j |
13310810713145344/23343125 |
j-invariant |
L |
6.332492949721 |
L(r)(E,1)/r! |
Ω |
0.35180516455487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4420a1 |
Quadratic twists by: 17 |