Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
22752c |
Isogeny class |
Conductor |
22752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1269301099064832 = -1 · 29 · 322 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12099,-1789018] |
[a1,a2,a3,a4,a6] |
j |
-524776831496/3400690959 |
j-invariant |
L |
3.6503077569919 |
L(r)(E,1)/r! |
Ω |
0.20279487538844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22752f2 45504bl3 7584a4 |
Quadratic twists by: -4 8 -3 |