Atkin-Lehner |
3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23715b |
Isogeny class |
Conductor |
23715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-51864705 = -1 · 39 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -5 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19050,1016801] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-39:1] |
Generators of the group modulo torsion |
j |
-38844557925363/2635 |
j-invariant |
L |
3.6230202643751 |
L(r)(E,1)/r! |
Ω |
1.5143266673855 |
Real period |
R |
1.1962479240461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23715d1 118575c1 |
Quadratic twists by: -3 5 |