Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25520k |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-25969407200000 = -1 · 28 · 55 · 113 · 293 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11+ -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5059,200641] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:406:1] |
Generators of the group modulo torsion |
j |
55923189948416/101442996875 |
j-invariant |
L |
4.4650190077236 |
L(r)(E,1)/r! |
Ω |
0.4599202372878 |
Real period |
R |
1.6180410738372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6380b1 102080bs1 127600w1 |
Quadratic twists by: -4 8 5 |