Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010ba |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-18898532997120 = -1 · 211 · 33 · 5 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-274573,-55400824] |
[a1,a2,a3,a4,a6] |
j |
-19458380202497209/160634880 |
j-invariant |
L |
1.2513711418175 |
L(r)(E,1)/r! |
Ω |
0.10428097334425 |
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 |
17430c1 |
Quadratic twists by: -7 |