Atkin-Lehner |
2+ 3+ 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17538a |
Isogeny class |
Conductor |
17538 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
41040 |
Modular degree for the optimal curve |
Δ |
-2520423581472 = -1 · 25 · 39 · 373 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8029,283933] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:397:1] |
Generators of the group modulo torsion |
j |
-57252255389306713/2520423581472 |
j-invariant |
L |
4.0519589974582 |
L(r)(E,1)/r! |
Ω |
0.80564542373286 |
Real period |
R |
5.0294569770954 |
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 |
52614h1 |
Quadratic twists by: -3 |