Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592bg |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2856960 |
Modular degree for the optimal curve |
Δ |
-1058743332864 = -1 · 212 · 36 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29968536,63146081392] |
[a1,a2,a3,a4,a6] |
Generators |
[3548:38484:1] |
Generators of the group modulo torsion |
j |
-996856898790659465728/354571 |
j-invariant |
L |
6.4543684460417 |
L(r)(E,1)/r! |
Ω |
0.36531490116981 |
Real period |
R |
4.4169895795093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74592bq1 8288d1 |
Quadratic twists by: -4 -3 |