Atkin-Lehner |
2- 3- 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890t |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2087424 |
Modular degree for the optimal curve |
Δ |
182061089856000000 = 212 · 36 · 56 · 19 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-755663,-251812969] |
[a1,a2,a3,a4,a6] |
j |
65460620751156210601/249740864000000 |
j-invariant |
L |
1.9435625988145 |
L(r)(E,1)/r! |
Ω |
0.16196352283073 |
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 |
11210c1 |
Quadratic twists by: -3 |