Atkin-Lehner |
2- 3+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826x |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-15836423616 = -1 · 26 · 33 · 13 · 893 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 3 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-314,-6343] |
[a1,a2,a3,a4,a6] |
j |
-126430421859/586534208 |
j-invariant |
L |
2.0558128717056 |
L(r)(E,1)/r! |
Ω |
0.51395321792641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20826e2 |
Quadratic twists by: -3 |