Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440y |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-18316800 = -1 · 29 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80,372] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-10:1] |
Generators of the group modulo torsion |
j |
-111980168/35775 |
j-invariant |
L |
5.1496363599338 |
L(r)(E,1)/r! |
Ω |
2.060064762712 |
Real period |
R |
0.624936222048 |
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 |
25440bg1 50880do1 76320j1 127200ba1 |
Quadratic twists by: -4 8 -3 5 |