Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450z |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.1484446112886E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-698092542,13022367211116] |
[a1,a2,a3,a4,a6] |
j |
-3303050039017428591035929/4519896503737558217400 |
j-invariant |
L |
1.025518665562 |
L(r)(E,1)/r! |
Ω |
0.032047459039728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150cj2 14490cc2 |
Quadratic twists by: -3 5 |