Atkin-Lehner |
2+ 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646g |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-106921835136 = -1 · 27 · 39 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 3 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-477936,127294848] |
[a1,a2,a3,a4,a6] |
Generators |
[399:-186:1] |
Generators of the group modulo torsion |
j |
-16561738703953702657/146669184 |
j-invariant |
L |
3.6426060963797 |
L(r)(E,1)/r! |
Ω |
0.7354682230195 |
Real period |
R |
0.61909644468131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882i1 |
Quadratic twists by: -3 |