Atkin-Lehner |
2+ 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650be |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1142400 |
Modular degree for the optimal curve |
Δ |
-3864470800746093750 = -1 · 2 · 314 · 59 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,135549,-92598452] |
[a1,a2,a3,a4,a6] |
Generators |
[4952:346836:1] |
Generators of the group modulo torsion |
j |
141022117888651/1978609049982 |
j-invariant |
L |
5.3744783279468 |
L(r)(E,1)/r! |
Ω |
0.12148638210018 |
Real period |
R |
0.52665890406803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650bs1 |
Quadratic twists by: 5 |