Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838bf |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
7451417064 = 23 · 3 · 77 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4583,-119710] |
[a1,a2,a3,a4,a6] |
Generators |
[116:897:1] |
Generators of the group modulo torsion |
j |
90458382169/63336 |
j-invariant |
L |
6.0630090185367 |
L(r)(E,1)/r! |
Ω |
0.58028546900595 |
Real period |
R |
2.6120803162713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834b1 |
Quadratic twists by: -7 |