Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200m |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
17842844531250000 = 24 · 38 · 511 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2104950,-1175450375] |
[a1,a2,a3,a4,a6] |
j |
5659545137022976/97903125 |
j-invariant |
L |
4.5122388517688 |
L(r)(E,1)/r! |
Ω |
0.12533996219786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35400q1 21240i1 |
Quadratic twists by: -3 5 |