Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bm |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1971200 |
Modular degree for the optimal curve |
Δ |
-4833576871038812160 = -1 · 220 · 317 · 5 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 7 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-252752,-116474061] |
[a1,a2,a3,a4,a6] |
Generators |
[5309:382257:1] |
Generators of the group modulo torsion |
j |
-2449505254135564729/6630420947927040 |
j-invariant |
L |
11.428484929832 |
L(r)(E,1)/r! |
Ω |
0.098840285053177 |
Real period |
R |
0.72266111710697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19470a1 |
Quadratic twists by: -3 |