Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1302p |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-82026 = -1 · 2 · 33 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-230,-1362] |
[a1,a2,a3,a4,a6] |
j |
-1345938541921/82026 |
j-invariant |
L |
3.6777095566295 |
L(r)(E,1)/r! |
Ω |
0.61295159277159 |
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 |
10416s1 41664p1 3906j1 32550a1 |
Quadratic twists by: -4 8 -3 5 |