Atkin-Lehner |
2+ 3- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530p |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
3267840 = 28 · 3 · 5 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133,-592] |
[a1,a2,a3,a4,a6] |
j |
257380823881/3267840 |
j-invariant |
L |
2.8163851384398 |
L(r)(E,1)/r! |
Ω |
1.40819256922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76590by1 127650cg1 |
Quadratic twists by: -3 5 |