Atkin-Lehner |
3- 5- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265bf |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-151521479462925 = -1 · 36 · 52 · 116 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10858,398634] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:606:1] |
Generators of the group modulo torsion |
j |
194215189549031/207848394325 |
j-invariant |
L |
3.8616224922544 |
L(r)(E,1)/r! |
Ω |
0.38300065290421 |
Real period |
R |
0.84021234066147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13585e2 |
Quadratic twists by: -3 |