Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200cd |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1071225000000 = 26 · 34 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3658,-70312] |
[a1,a2,a3,a4,a6] |
Generators |
[74:264:1] |
Generators of the group modulo torsion |
j |
5414689216/1071225 |
j-invariant |
L |
8.7361987305294 |
L(r)(E,1)/r! |
Ω |
0.62235360888102 |
Real period |
R |
3.509338825145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55200f1 110400b2 11040b1 |
Quadratic twists by: -4 8 5 |