Atkin-Lehner |
2+ 3- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630k |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
681984 |
Modular degree for the optimal curve |
Δ |
-44892565756968960 = -1 · 224 · 312 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20205,-10138955] |
[a1,a2,a3,a4,a6] |
Generators |
[12923446:25591525:68921] |
Generators of the group modulo torsion |
j |
1251297732246479/61581022986240 |
j-invariant |
L |
5.5360973629304 |
L(r)(E,1)/r! |
Ω |
0.17223001707897 |
Real period |
R |
8.0359066563758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30210w1 |
Quadratic twists by: -3 |