Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270m |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66880 |
Modular degree for the optimal curve |
Δ |
-45176277689060 = -1 · 22 · 5 · 7 · 199 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 6 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4144,308373] |
[a1,a2,a3,a4,a6] |
j |
24389/140 |
j-invariant |
L |
1.8475420375594 |
L(r)(E,1)/r! |
Ω |
0.46188550938984 |
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 |
126350t1 25270a1 |
Quadratic twists by: 5 -19 |