Atkin-Lehner |
2+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400g |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-4759468750000 = -1 · 24 · 59 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 -1 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30950,-2098375] |
[a1,a2,a3,a4,a6] |
Generators |
[445:8500:1] |
Generators of the group modulo torsion |
j |
-13114920536064/19037875 |
j-invariant |
L |
6.9033396160249 |
L(r)(E,1)/r! |
Ω |
0.17995611324999 |
Real period |
R |
1.5983849862886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080f1 |
Quadratic twists by: 5 |