Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720z |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-923573599200000 = -1 · 28 · 311 · 55 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10705,1519475] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:1350:1] [65:-1050:1] |
Generators of the group modulo torsion |
j |
-1545219607552/10518103125 |
j-invariant |
L |
14.01081519588 |
L(r)(E,1)/r! |
Ω |
0.42777928696184 |
Real period |
R |
0.074437362386606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111720i1 |
Quadratic twists by: -7 |