Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
23520bv |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-10758502218240 = -1 · 29 · 36 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179160,29129148] |
[a1,a2,a3,a4,a6] |
j |
-215474070728/3645 |
j-invariant |
L |
3.9654448275443 |
L(r)(E,1)/r! |
Ω |
0.66090747125738 |
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 |
23520f1 47040b1 70560t1 117600f1 |
Quadratic twists by: -4 8 -3 5 |