Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bp |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26782912183910400 = 214 · 316 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12964320,-17962560000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2078:18:1] |
Generators of the group modulo torsion |
j |
58831920326276935699681/6538796919900 |
j-invariant |
L |
4.7116954738802 |
L(r)(E,1)/r! |
Ω |
0.079563177515597 |
Real period |
R |
3.7012218001868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510z4 |
Quadratic twists by: -4 |