Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720y |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-3941481600000 = -1 · 210 · 33 · 55 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1160,94688] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:300:1] |
Generators of the group modulo torsion |
j |
70150556/1603125 |
j-invariant |
L |
10.094438364222 |
L(r)(E,1)/r! |
Ω |
0.58682692109084 |
Real period |
R |
0.57339100570192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111720g1 |
Quadratic twists by: -7 |