Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578bl |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1639931941254096 = -1 · 24 · 36 · 78 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6404,1959927] |
[a1,a2,a3,a4,a6] |
j |
-338608873/19120976 |
j-invariant |
L |
3.137398654479 |
L(r)(E,1)/r! |
Ω |
0.39217483180987 |
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 |
2842d1 3654u1 |
Quadratic twists by: -3 -7 |