Atkin-Lehner |
2+ 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826p |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-735493444712792064 = -1 · 218 · 315 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1891593,-1001735667] |
[a1,a2,a3,a4,a6] |
j |
-1026784744653907139473/1008907331567616 |
j-invariant |
L |
1.5447146925094 |
L(r)(E,1)/r! |
Ω |
0.064363112187892 |
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 |
6942n1 |
Quadratic twists by: -3 |