Atkin-Lehner |
2- 3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130bx |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-1313233357500 = -1 · 22 · 38 · 54 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1633,-49341] |
[a1,a2,a3,a4,a6] |
Generators |
[47:336:1] |
Generators of the group modulo torsion |
j |
661003929431/1801417500 |
j-invariant |
L |
11.93689921671 |
L(r)(E,1)/r! |
Ω |
0.44149599524106 |
Real period |
R |
1.6898368423613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710a1 |
Quadratic twists by: -3 |