Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6118m |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
2799978137191424 = 210 · 7 · 198 · 23 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1390094,-631407029] |
[a1,a2,a3,a4,a6] |
Generators |
[-18429:10037:27] |
Generators of the group modulo torsion |
j |
297068250173962064073697/2799978137191424 |
j-invariant |
L |
7.1011972724202 |
L(r)(E,1)/r! |
Ω |
0.1390396789996 |
Real period |
R |
2.5536585396032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48944j1 55062u1 42826o1 116242l1 |
Quadratic twists by: -4 -3 -7 -19 |