Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350x |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-498461185800 = -1 · 23 · 36 · 52 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -1 -4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3312,-80024] |
[a1,a2,a3,a4,a6] |
Generators |
[363:6634:1] |
Generators of the group modulo torsion |
j |
-220496102185/27350408 |
j-invariant |
L |
3.9523433355075 |
L(r)(E,1)/r! |
Ω |
0.31248998143698 |
Real period |
R |
3.1619760394659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2150m1 19350cn1 |
Quadratic twists by: -3 5 |