Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502bi |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-2647631621826 = -1 · 2 · 319 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 2 4 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3524,113177] |
[a1,a2,a3,a4,a6] |
Generators |
[510:2783:8] |
Generators of the group modulo torsion |
j |
-6637252523257/3631867794 |
j-invariant |
L |
7.0334782709306 |
L(r)(E,1)/r! |
Ω |
0.75227838995661 |
Real period |
R |
4.6747842054431 |
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 |
6834g1 |
Quadratic twists by: -3 |