Atkin-Lehner |
2- 3- 37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
55278h |
Isogeny class |
Conductor |
55278 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-27509870592 = -1 · 212 · 37 · 37 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -1 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-194,-7999] |
[a1,a2,a3,a4,a6] |
Generators |
[33:127:1] |
Generators of the group modulo torsion |
j |
-1102302937/37736448 |
j-invariant |
L |
11.27049885858 |
L(r)(E,1)/r! |
Ω |
0.51624272458439 |
Real period |
R |
0.45482880120009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18426d1 |
Quadratic twists by: -3 |