Atkin-Lehner |
2+ 3- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630bi |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-6271418988281250 = -1 · 2 · 313 · 59 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 6 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38754,-4800722] |
[a1,a2,a3,a4,a6] |
j |
-8829824916660769/8602769531250 |
j-invariant |
L |
2.9457761658011 |
L(r)(E,1)/r! |
Ω |
0.16365423727162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30210v1 |
Quadratic twists by: -3 |