Atkin-Lehner |
2- 3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bd |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
12719616 |
Modular degree for the optimal curve |
Δ |
-7.9308607920538E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-227987192,-1895056587909] |
[a1,a2,a3,a4,a6] |
j |
-48539052565541114766880565763/29373558489088000000000000 |
j-invariant |
L |
3.1759145043208 |
L(r)(E,1)/r! |
Ω |
0.018904253001909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770c1 113850e1 |
Quadratic twists by: -3 5 |