Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bs |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6181920000 = -1 · 28 · 36 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,2306] |
[a1,a2,a3,a4,a6] |
j |
35969456/33125 |
j-invariant |
L |
3.509262617345 |
L(r)(E,1)/r! |
Ω |
0.87731565433294 |
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 |
9540d1 4240d1 |
Quadratic twists by: -4 -3 |