Atkin-Lehner |
2+ 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58072d |
Isogeny class |
Conductor |
58072 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-278861744 = -1 · 24 · 75 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -3 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,149,-448] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-49:1] [16:76:1] |
Generators of the group modulo torsion |
j |
22711433216/17428859 |
j-invariant |
L |
7.8717813604261 |
L(r)(E,1)/r! |
Ω |
0.96901846187261 |
Real period |
R |
0.81234586028612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116144d1 |
Quadratic twists by: -4 |