Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600bl |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1337600000000000 = -1 · 217 · 511 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194008,-32873488] |
[a1,a2,a3,a4,a6] |
Generators |
[8012:716000:1] |
Generators of the group modulo torsion |
j |
-12618417497041/20900000 |
j-invariant |
L |
4.6926814676682 |
L(r)(E,1)/r! |
Ω |
0.11372903350808 |
Real period |
R |
5.157743496411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450e1 16720be1 |
Quadratic twists by: -4 5 |