Atkin-Lehner |
2- 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680g |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2087424 |
Modular degree for the optimal curve |
Δ |
1022938578944000000 = 224 · 56 · 19 · 593 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1343400,-596890000] |
[a1,a2,a3,a4,a6] |
Generators |
[176822685300:13409972172800:29503629] |
Generators of the group modulo torsion |
j |
65460620751156210601/249740864000000 |
j-invariant |
L |
12.336959203309 |
L(r)(E,1)/r! |
Ω |
0.14026452525783 |
Real period |
R |
14.659158213534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210c1 |
Quadratic twists by: -4 |