Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25284c |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-76627454462960688 = -1 · 24 · 35 · 78 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207433,-38656610] |
[a1,a2,a3,a4,a6] |
j |
-524386048000000/40707663507 |
j-invariant |
L |
1.7817210658613 |
L(r)(E,1)/r! |
Ω |
0.11135756661634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136cg1 75852j1 3612h1 |
Quadratic twists by: -4 -3 -7 |