Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440be |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-29306880 = -1 · 212 · 33 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,299] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
-6229504/7155 |
j-invariant |
L |
5.6029497433009 |
L(r)(E,1)/r! |
Ω |
1.8996597943776 |
Real period |
R |
0.49157483881094 |
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 |
25440a1 50880q1 76320r1 127200e1 |
Quadratic twists by: -4 8 -3 5 |