Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825be |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
657057097265625 = 36 · 58 · 74 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22880,509122] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1046:1] |
Generators of the group modulo torsion |
j |
116285729841/57684025 |
j-invariant |
L |
4.1474987946086 |
L(r)(E,1)/r! |
Ω |
0.45340632645315 |
Real period |
R |
1.1434276918516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999773 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5425e2 9765b2 |
Quadratic twists by: -3 5 |