Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648x |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1609363337494528 = -1 · 214 · 7 · 116 · 892 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4285,-1927102] |
[a1,a2,a3,a4,a6] |
Generators |
[3281:187968:1] |
Generators of the group modulo torsion |
j |
2124301926375/392910971068 |
j-invariant |
L |
5.7568512308407 |
L(r)(E,1)/r! |
Ω |
0.22383093968075 |
Real period |
R |
2.1433033566256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999632227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13706a1 |
Quadratic twists by: -4 |