Atkin-Lehner |
2+ 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478bl |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
-124815201794260992 = -1 · 218 · 33 · 79 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -4 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36139,-17205226] |
[a1,a2,a3,a4,a6] |
j |
-44365623586201/1060911710208 |
j-invariant |
L |
3.4310946558403 |
L(r)(E,1)/r! |
Ω |
0.14296237575182 |
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 |
18354c1 |
Quadratic twists by: -7 |