Atkin-Lehner |
2- 5- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bl |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
2007936 |
Modular degree for the optimal curve |
Δ |
507373827412375000 = 23 · 56 · 78 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-202420,-7382600] |
[a1,a2,a3,a4,a6] |
j |
159110847012481/88012375000 |
j-invariant |
L |
8.6776714617847 |
L(r)(E,1)/r! |
Ω |
0.24104641127426 |
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 |
123970bf1 |
Quadratic twists by: -7 |