Atkin-Lehner |
2+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970l |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1071360 |
Modular degree for the optimal curve |
Δ |
22340854812500 = 22 · 56 · 74 · 533 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 3 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13983793,20126137056] |
[a1,a2,a3,a4,a6] |
j |
125952405723419469764521/9304812500 |
j-invariant |
L |
1.5028077397891 |
L(r)(E,1)/r! |
Ω |
0.37570193494743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129850bp1 25970c1 |
Quadratic twists by: 5 -7 |