Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070k |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
23609031016320 = 27 · 39 · 5 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 6 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20564,1108946] |
[a1,a2,a3,a4,a6] |
j |
513108539209/12597120 |
j-invariant |
L |
2.0200741237893 |
L(r)(E,1)/r! |
Ω |
0.6733580412572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123210di1 41070bj1 |
Quadratic twists by: -3 37 |