Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960g |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5820416000000000000 = 224 · 512 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-487681,-60747519] |
[a1,a2,a3,a4,a6] |
Generators |
[45560226198572163:1849722303800937500:23731450511553] |
Generators of the group modulo torsion |
j |
48931912253206081/22203125000000 |
j-invariant |
L |
8.5759479232252 |
L(r)(E,1)/r! |
Ω |
0.1885601587259 |
Real period |
R |
22.740614934101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bc2 2030b2 |
Quadratic twists by: -4 8 |