Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440by |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
118092349440 = 214 · 34 · 5 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1360,10432] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:144:1] |
Generators of the group modulo torsion |
j |
67967263441/28831140 |
j-invariant |
L |
3.5567798784957 |
L(r)(E,1)/r! |
Ω |
0.9477726722893 |
Real period |
R |
0.9381943570634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bn1 |
Quadratic twists by: -4 |