Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42504g |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4967546529792 = -1 · 211 · 3 · 74 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,968,106928] |
[a1,a2,a3,a4,a6] |
Generators |
[74255:1814274:125] |
Generators of the group modulo torsion |
j |
48929536654/2425559829 |
j-invariant |
L |
8.9999557620387 |
L(r)(E,1)/r! |
Ω |
0.58350592607756 |
Real period |
R |
7.7119660313801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008i3 127512br3 |
Quadratic twists by: -4 -3 |