Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470df |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
604358576574480 = 24 · 33 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26903,-1212129] |
[a1,a2,a3,a4,a6] |
j |
16522921323/4637360 |
j-invariant |
L |
3.0455933025626 |
L(r)(E,1)/r! |
Ω |
0.38069907283471 |
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 |
106470j1 8190e1 |
Quadratic twists by: -3 13 |