Atkin-Lehner |
2+ 3- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210r |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21722400 |
Modular degree for the optimal curve |
Δ |
-3.9686216476262E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-983475819,-11870927382267] |
[a1,a2,a3,a4,a6] |
j |
-144306948371105049029627775409/54439254425600000 |
j-invariant |
L |
0.13479656893806 |
L(r)(E,1)/r! |
Ω |
0.013479650669077 |
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 |
8690f1 |
Quadratic twists by: -3 |