Atkin-Lehner |
2+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808n |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21248 |
Modular degree for the optimal curve |
Δ |
-12007424 = -1 · 211 · 11 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ -1 3 -2 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144,736] |
[a1,a2,a3,a4,a6] |
Generators |
[10:14:1] |
Generators of the group modulo torsion |
j |
-162365474/5863 |
j-invariant |
L |
6.7318143034051 |
L(r)(E,1)/r! |
Ω |
2.2433784176699 |
Real period |
R |
1.5003742235173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904m1 |
Quadratic twists by: -4 |