Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10650p |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
228000 |
Modular degree for the optimal curve |
Δ |
-858619699200000000 = -1 · 219 · 310 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-794576,-276303202] |
[a1,a2,a3,a4,a6] |
j |
-142026446510183065/2198066429952 |
j-invariant |
L |
2.3963907335712 |
L(r)(E,1)/r! |
Ω |
0.079879691119039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200cn1 31950cs1 10650x1 |
Quadratic twists by: -4 -3 5 |