Atkin-Lehner |
2+ 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840t |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
486400 |
Modular degree for the optimal curve |
Δ |
252378281250000 = 24 · 35 · 510 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19571,719004] |
[a1,a2,a3,a4,a6] |
Generators |
[40:42:1] |
Generators of the group modulo torsion |
j |
51816129663576064/15773642578125 |
j-invariant |
L |
10.057898988654 |
L(r)(E,1)/r! |
Ω |
0.51338209544286 |
Real period |
R |
3.918289741509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46920o1 |
Quadratic twists by: -4 |