Atkin-Lehner |
2+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6118b |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
89298034336 = 25 · 72 · 195 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1613,-21059] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:79:1] [-15:14:1] |
Generators of the group modulo torsion |
j |
464566023349849/89298034336 |
j-invariant |
L |
3.1332995668569 |
L(r)(E,1)/r! |
Ω |
0.7633391118993 |
Real period |
R |
0.41047281843855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48944x1 55062bf1 42826d1 116242s1 |
Quadratic twists by: -4 -3 -7 -19 |