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 |
19107311616 = 212 · 310 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307164,-65524480] |
[a1,a2,a3,a4,a6] |
j |
1073364380875072/6399 |
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 |
22752f4 45504bl1 7584a3 |
Quadratic twists by: -4 8 -3 |