Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490dk |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
566724526018560 = 212 · 32 · 5 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104530,12948740] |
[a1,a2,a3,a4,a6] |
j |
26168974809769/117411840 |
j-invariant |
L |
6.2445766799116 |
L(r)(E,1)/r! |
Ω |
0.52038138999434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106470t1 2730m1 |
Quadratic twists by: -3 13 |