Atkin-Lehner |
3+ 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453g |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9.1588192144617E+20 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188631822,-997250630664] |
[a1,a2,a3,a4,a6] |
Generators |
[3049185434940:-476747112266733:97336000] |
Generators of the group modulo torsion |
j |
6309287985080793237343057/7784867881972419 |
j-invariant |
L |
3.8523663153439 |
L(r)(E,1)/r! |
Ω |
0.040737638211027 |
Real period |
R |
15.760880512525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779i2 |
Quadratic twists by: -7 |