Atkin-Lehner |
2- 3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38940n |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-681821272873002240 = -1 · 28 · 311 · 5 · 114 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -5 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29580,39766068] |
[a1,a2,a3,a4,a6] |
j |
-11181316420048336/2663364347160165 |
j-invariant |
L |
5.1402453864516 |
L(r)(E,1)/r! |
Ω |
0.2336475175699 |
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 |
116820n1 |
Quadratic twists by: -3 |