Atkin-Lehner |
2+ 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650x |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
4856220000 = 25 · 33 · 54 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-426,-452] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:36:1] |
Generators of the group modulo torsion |
j |
13633462825/7769952 |
j-invariant |
L |
5.3322969910488 |
L(r)(E,1)/r! |
Ω |
1.1369856518675 |
Real period |
R |
0.78164237494228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650bp1 |
Quadratic twists by: 5 |