Atkin-Lehner |
2+ 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bb |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
2.4956930144097E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1346370,551065216] |
[a1,a2,a3,a4,a6] |
j |
152356299470130673/14087536440516 |
j-invariant |
L |
2.4813637180174 |
L(r)(E,1)/r! |
Ω |
0.20678031686557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854p1 |
Quadratic twists by: -11 |