Atkin-Lehner |
2+ 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022i |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1081561395889728 = 26 · 32 · 136 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12326526,-16658500688] |
[a1,a2,a3,a4,a6] |
j |
42912679782639390625/224073792 |
j-invariant |
L |
1.4503134857379 |
L(r)(E,1)/r! |
Ω |
0.08057297232747 |
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 |
438a3 |
Quadratic twists by: 13 |