Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8288d |
Isogeny class |
Conductor |
8288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-1452322816 = -1 · 212 · 7 · 373 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 5 -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3329837,-2339853701] |
[a1,a2,a3,a4,a6] |
Generators |
[743109323:-555249407188:1331] |
Generators of the group modulo torsion |
j |
-996856898790659465728/354571 |
j-invariant |
L |
1.8989044709264 |
L(r)(E,1)/r! |
Ω |
0.055880953058128 |
Real period |
R |
16.990623522035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8288f1 16576k1 74592bg1 58016f1 |
Quadratic twists by: -4 8 -3 -7 |