Atkin-Lehner |
2+ 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826c |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-2.9811051771543E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 1 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40356273,-98701588323] |
[a1,a2,a3,a4,a6] |
j |
-269211190034675994432164811/110411302857566277632 |
j-invariant |
L |
2.9948916257002 |
L(r)(E,1)/r! |
Ω |
0.029948916257002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20826r1 |
Quadratic twists by: -3 |