Atkin-Lehner |
2- 5- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126160i |
Isogeny class |
Conductor |
126160 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-670161920000000000 = -1 · 219 · 510 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 1 5- 3 2 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-618360,-191464492] |
[a1,a2,a3,a4,a6] |
j |
-6383937580587496441/163613750000000 |
j-invariant |
L |
3.399866357612 |
L(r)(E,1)/r! |
Ω |
0.084996667725758 |
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 |
15770b1 |
Quadratic twists by: -4 |