Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20240g |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
12160 |
Modular degree for the optimal curve |
Δ |
-2226400000 = -1 · 28 · 55 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 11- -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-665,-6763] |
[a1,a2,a3,a4,a6] |
j |
-127233534976/8696875 |
j-invariant |
L |
4.6816723081781 |
L(r)(E,1)/r! |
Ω |
0.46816723081781 |
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 |
10120c1 80960bm1 101200g1 |
Quadratic twists by: -4 8 5 |