Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510ba |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
5242544455680000 = 232 · 32 · 54 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47275,-1879375] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:1505:1] |
Generators of the group modulo torsion |
j |
11684735845700727601/5242544455680000 |
j-invariant |
L |
7.0467773301781 |
L(r)(E,1)/r! |
Ω |
0.33763684860973 |
Real period |
R |
0.32610746201847 |
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 |
52080bl1 19530k1 32550n1 45570bp1 |
Quadratic twists by: -4 -3 5 -7 |