Atkin-Lehner |
3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20691r |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-1448937949928139 = -1 · 316 · 116 · 19 |
Discriminant |
Eigenvalues |
-2 3- -1 -3 11- 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,21417,-1377918] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
0.51049107455553 |
L(r)(E,1)/r! |
Ω |
0.25524553727777 |
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 |
6897g1 171c1 |
Quadratic twists by: -3 -11 |