Atkin-Lehner |
2+ 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410p |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
16515072 |
Modular degree for the optimal curve |
Δ |
-7.4506615983193E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15788601,-33791689107] |
[a1,a2,a3,a4,a6] |
j |
597072566536301081991311/1022038628027343750000 |
j-invariant |
L |
2.6486157230896 |
L(r)(E,1)/r! |
Ω |
0.0472966859008 |
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 |
40470bi1 |
Quadratic twists by: -3 |