Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850fj |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
deg |
496128 |
Modular degree for the optimal curve |
Δ |
-498599608320000 = -1 · 217 · 37 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2020,1073247] |
[a1,a2,a3,a4,a6] |
Generators |
[629:15525:1] [53:-1179:1] |
Generators of the group modulo torsion |
j |
2001574775/1094320128 |
j-invariant |
L |
16.775400763075 |
L(r)(E,1)/r! |
Ω |
0.40745584247991 |
Real period |
R |
0.1009095319147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950q1 113850bh1 |
Quadratic twists by: -3 5 |