Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010v |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-4921492968000 = -1 · 26 · 32 · 53 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22419,-1298258] |
[a1,a2,a3,a4,a6] |
j |
-10591472326681/41832000 |
j-invariant |
L |
3.1205784359474 |
L(r)(E,1)/r! |
Ω |
0.19503616981111 |
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 |
17430h1 |
Quadratic twists by: -7 |