Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290s |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-55119968288000 = -1 · 28 · 53 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29768,-2021312] |
[a1,a2,a3,a4,a6] |
Generators |
[336:4936:1] |
Generators of the group modulo torsion |
j |
-1693700041/32000 |
j-invariant |
L |
3.3694238152745 |
L(r)(E,1)/r! |
Ω |
0.18152803548067 |
Real period |
R |
3.0935752396359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210e1 59290dd1 |
Quadratic twists by: -7 -11 |