Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290em |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2411498612600 = -1 · 23 · 52 · 77 · 114 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20875,-1171983] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2576:1] |
Generators of the group modulo torsion |
j |
-584043889/1400 |
j-invariant |
L |
6.8603024743918 |
L(r)(E,1)/r! |
Ω |
0.19856397664191 |
Real period |
R |
0.95971062242849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470x1 59290by1 |
Quadratic twists by: -7 -11 |