Atkin-Lehner |
2+ 3+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130h |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-160265752031250 = -1 · 2 · 39 · 57 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 0 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33787,-2480921] |
[a1,a2,a3,a4,a6] |
Generators |
[233:1421:1] |
Generators of the group modulo torsion |
j |
-4265723402942585401/160265752031250 |
j-invariant |
L |
4.1167213449861 |
L(r)(E,1)/r! |
Ω |
0.1756806621041 |
Real period |
R |
1.673784246485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114390bl1 |
Quadratic twists by: -3 |