Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10086o |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
909216 |
Modular degree for the optimal curve |
Δ |
5.7938147310104E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -1 -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34105844,76562241077] |
[a1,a2,a3,a4,a6] |
Generators |
[2381:92945:1] |
Generators of the group modulo torsion |
j |
549464024729857/725594112 |
j-invariant |
L |
5.2623462787279 |
L(r)(E,1)/r! |
Ω |
0.13460235657181 |
Real period |
R |
1.085986079614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688bl1 30258h1 10086q1 |
Quadratic twists by: -4 -3 41 |