Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270a |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-960260 = -1 · 22 · 5 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 6 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[11:32:1] |
Generators of the group modulo torsion |
j |
24389/140 |
j-invariant |
L |
4.3858917333925 |
L(r)(E,1)/r! |
Ω |
1.3959593813059 |
Real period |
R |
0.78546191818445 |
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 |
126350cs1 25270m1 |
Quadratic twists by: 5 -19 |