Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270k |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
3464364116716093440 = 216 · 32 · 5 · 537 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-379274,7923836] |
[a1,a2,a3,a4,a6] |
j |
272223782641/156303360 |
j-invariant |
L |
3.8503026544394 |
L(r)(E,1)/r! |
Ω |
0.21390570307838 |
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 |
1590p1 |
Quadratic twists by: 53 |