Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720s |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-1419524598240000 = -1 · 28 · 34 · 54 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24239,-1076461] |
[a1,a2,a3,a4,a6] |
Generators |
[359:-7350:1] |
Generators of the group modulo torsion |
j |
1067150336/961875 |
j-invariant |
L |
5.3737908852636 |
L(r)(E,1)/r! |
Ω |
0.26322164154674 |
Real period |
R |
0.21266103987395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111720l1 |
Quadratic twists by: -7 |