Atkin-Lehner |
2+ 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030j |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-92755113984000 = -1 · 214 · 310 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10260,-609584] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2204:1] |
Generators of the group modulo torsion |
j |
-163855897047361/127236096000 |
j-invariant |
L |
1.8834063036979 |
L(r)(E,1)/r! |
Ω |
0.22949853770549 |
Real period |
R |
2.0516539259242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010m1 |
Quadratic twists by: -3 |