Atkin-Lehner |
3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545u |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1130880 |
Modular degree for the optimal curve |
Δ |
75145897620284625 = 34 · 53 · 199 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-390249,-92934953] |
[a1,a2,a3,a4,a6] |
j |
20368783891/232875 |
j-invariant |
L |
3.4406211893077 |
L(r)(E,1)/r! |
Ω |
0.19114561246491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124545b1 |
Quadratic twists by: -19 |