Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512h |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-87254931456 = -1 · 211 · 37 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,17278] |
[a1,a2,a3,a4,a6] |
Generators |
[38:198:1] |
Generators of the group modulo torsion |
j |
-48275138/58443 |
j-invariant |
L |
6.2793699018443 |
L(r)(E,1)/r! |
Ω |
0.97373153264683 |
Real period |
R |
1.6121922999951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504t1 |
Quadratic twists by: -3 |