Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cn |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
220361420160000 = 210 · 310 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90683787,-332385894934] |
[a1,a2,a3,a4,a6] |
Generators |
[-596704076334:-75265750:108531333] |
Generators of the group modulo torsion |
j |
110480383151586182744356/295194375 |
j-invariant |
L |
7.1250390872939 |
L(r)(E,1)/r! |
Ω |
0.048923457600055 |
Real period |
R |
12.136371504662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840ch4 28560l4 |
Quadratic twists by: -4 -3 |