Atkin-Lehner |
2- 3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318u |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
1944 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
2.0706760355136E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-196982018,1064096943300] |
[a1,a2,a3,a4,a6] |
Generators |
[1828:841774:1] |
Generators of the group modulo torsion |
j |
845285577877816419361168014625/207067603551364841472 |
j-invariant |
L |
9.9958407045281 |
L(r)(E,1)/r! |
Ω |
0.14193594633354 |
Real period |
R |
1.3041668863783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
63954k1 |
Quadratic twists by: -3 |