Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426j |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
6758400 |
Modular degree for the optimal curve |
Δ |
1.7018449660981E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38695166,-92629349008] |
[a1,a2,a3,a4,a6] |
Generators |
[-735736785:-558853561:205379] |
Generators of the group modulo torsion |
j |
7219775199978393625/1917563839488 |
j-invariant |
L |
6.8723770076519 |
L(r)(E,1)/r! |
Ω |
0.060533014158339 |
Real period |
R |
5.1605025355782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046b1 |
Quadratic twists by: -31 |