Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510t |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
112492800 = 28 · 34 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-161,585] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:19:1] |
Generators of the group modulo torsion |
j |
461710681489/112492800 |
j-invariant |
L |
6.4776737812033 |
L(r)(E,1)/r! |
Ω |
1.7587250996892 |
Real period |
R |
0.92079111487462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080bc1 19530t1 32550g1 45570cg1 |
Quadratic twists by: -4 -3 5 -7 |