Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bc |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
460770508800 = 220 · 34 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2576,-37440] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:108:1] [-22:90:1] |
Generators of the group modulo torsion |
j |
461710681489/112492800 |
j-invariant |
L |
8.0926818927178 |
L(r)(E,1)/r! |
Ω |
0.68201581093622 |
Real period |
R |
2.9664568485613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510t1 |
Quadratic twists by: -4 |