Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bn |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
deg |
12257280 |
Modular degree for the optimal curve |
Δ |
-2.06258848955E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,225137770,1756049823397] |
[a1,a2,a3,a4,a6] |
j |
4103528704038359904573/6706582499172024320 |
j-invariant |
L |
2.4126471206124 |
L(r)(E,1)/r! |
Ω |
0.031745356850163 |
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 |
21150h1 4230h1 |
Quadratic twists by: -3 5 |