Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bp |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-8389489901408 = -1 · 25 · 7 · 11 · 237 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28401,-1840383] |
[a1,a2,a3,a4,a6] |
Generators |
[489:9806:1] |
Generators of the group modulo torsion |
j |
-17113674033/56672 |
j-invariant |
L |
4.9334404993745 |
L(r)(E,1)/r! |
Ω |
0.18384475151777 |
Real period |
R |
2.6834818278019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542l1 |
Quadratic twists by: -23 |