Atkin-Lehner |
2- 3- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27306k |
Isogeny class |
Conductor |
27306 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-2863608181344 = -1 · 25 · 313 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 0 2 -3 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1039,80129] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-344:1] |
Generators of the group modulo torsion |
j |
170307838007/3928131936 |
j-invariant |
L |
10.230266074997 |
L(r)(E,1)/r! |
Ω |
0.6027715135926 |
Real period |
R |
0.84860231815065 |
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 |
9102d1 |
Quadratic twists by: -3 |