Atkin-Lehner |
2- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480r |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
34241428000000 = 28 · 56 · 132 · 373 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 -3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97981,11834225] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:4625:1] [13:3250:1] |
Generators of the group modulo torsion |
j |
406362648284422144/133755578125 |
j-invariant |
L |
5.8940589035713 |
L(r)(E,1)/r! |
Ω |
0.64106245391501 |
Real period |
R |
0.38309182849346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9620b2 |
Quadratic twists by: -4 |