Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bo |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-32664576000 = -1 · 213 · 3 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,440,7792] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:70:1] |
Generators of the group modulo torsion |
j |
2294744759/7974750 |
j-invariant |
L |
5.6193886516217 |
L(r)(E,1)/r! |
Ω |
0.82816769719068 |
Real period |
R |
0.37696261214178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510i1 |
Quadratic twists by: -4 |