Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720c |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4451629140080640 = 211 · 34 · 5 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205816,-35726900] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:372:1] [625:8910:1] |
Generators of the group modulo torsion |
j |
4001704635602/18475695 |
j-invariant |
L |
9.4305868681382 |
L(r)(E,1)/r! |
Ω |
0.22420756173162 |
Real period |
R |
21.030929545419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960j4 |
Quadratic twists by: -7 |