Atkin-Lehner |
2+ 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650v |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-165684783750000 = -1 · 24 · 3 · 57 · 174 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5501,-639352] |
[a1,a2,a3,a4,a6] |
Generators |
[9975768:-271373321:13824] |
Generators of the group modulo torsion |
j |
-1177918188481/10603826160 |
j-invariant |
L |
6.79982421863 |
L(r)(E,1)/r! |
Ω |
0.24263637765461 |
Real period |
R |
7.0061879059816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730i1 |
Quadratic twists by: 5 |