Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200bs |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-6.387452471763E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,936167,-1165226963] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:92114:1] |
Generators of the group modulo torsion |
j |
907367526978560/6387452471763 |
j-invariant |
L |
3.892201013868 |
L(r)(E,1)/r! |
Ω |
0.080734826374707 |
Real period |
R |
6.0262112998326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200w1 |
Quadratic twists by: 5 |