Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520bc |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
2593433600000 = 214 · 55 · 373 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38147,-2866686] |
[a1,a2,a3,a4,a6] |
j |
29589645357/12500 |
j-invariant |
L |
3.4162171092017 |
L(r)(E,1)/r! |
Ω |
0.34162171470935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13690e1 109520o1 |
Quadratic twists by: -4 37 |