Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502x |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-135253124355981312 = -1 · 242 · 33 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 -3 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,42697,17354639] |
[a1,a2,a3,a4,a6] |
Generators |
[579:15070:1] |
Generators of the group modulo torsion |
j |
318831753828670893/5009374976147456 |
j-invariant |
L |
10.146889327426 |
L(r)(E,1)/r! |
Ω |
0.24381108786803 |
Real period |
R |
0.49545040208491 |
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 |
20502e1 |
Quadratic twists by: -3 |