Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800dj |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2057739552000000000 = -1 · 214 · 312 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,201167,-59575537] |
[a1,a2,a3,a4,a6] |
Generators |
[719:-21384:1] |
Generators of the group modulo torsion |
j |
28134667888/64304361 |
j-invariant |
L |
7.4535754877592 |
L(r)(E,1)/r! |
Ω |
0.13550657996386 |
Real period |
R |
1.1459430435193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800fm2 3300g2 52800bn2 |
Quadratic twists by: -4 8 5 |