Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122018a |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17072640 |
Modular degree for the optimal curve |
Δ |
3.5466276158935E+21 |
Discriminant |
Eigenvalues |
2+ 0 -1 1 -5 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-396508930,3039075894804] |
[a1,a2,a3,a4,a6] |
Generators |
[307308:421058:27] |
Generators of the group modulo torsion |
j |
497630516409/256 |
j-invariant |
L |
2.7492530548427 |
L(r)(E,1)/r! |
Ω |
0.11516633145579 |
Real period |
R |
3.9786701203161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018t1 122018bc1 |
Quadratic twists by: 13 -19 |