Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2088j |
Isogeny class |
Conductor |
2088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-82196208 = -1 · 24 · 311 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 5 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-137] |
[a1,a2,a3,a4,a6] |
Generators |
[17:81:1] |
Generators of the group modulo torsion |
j |
10976000/7047 |
j-invariant |
L |
2.8423404168348 |
L(r)(E,1)/r! |
Ω |
1.1013595153488 |
Real period |
R |
0.32259452717567 |
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 |
4176e1 16704bg1 696c1 52200n1 |
Quadratic twists by: -4 8 -3 5 |