Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362y |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-72798376937706 = -1 · 2 · 33 · 72 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 -5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-221050,39912209] |
[a1,a2,a3,a4,a6] |
j |
-1345938541921/82026 |
j-invariant |
L |
2.3286975967175 |
L(r)(E,1)/r! |
Ω |
0.58217439918914 |
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 |
121086n1 1302p1 |
Quadratic twists by: -3 -31 |