Atkin-Lehner |
2- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024t |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2054979584 = -1 · 215 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456,-4492] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-272:1] [238:3664:1] |
Generators of the group modulo torsion |
j |
-2565726409/501704 |
j-invariant |
L |
10.820449422633 |
L(r)(E,1)/r! |
Ω |
0.51107885084222 |
Real period |
R |
2.6464726051614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378a1 |
Quadratic twists by: -4 |