Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510w |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
195300 = 22 · 32 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-111,-459] |
[a1,a2,a3,a4,a6] |
Generators |
[26:107:1] |
Generators of the group modulo torsion |
j |
151334226289/195300 |
j-invariant |
L |
6.8237719096981 |
L(r)(E,1)/r! |
Ω |
1.4708964148981 |
Real period |
R |
2.3195963497439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080x1 19530bf1 32550e1 45570ce1 |
Quadratic twists by: -4 -3 5 -7 |