Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680y |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
83839795200 = 214 · 34 · 52 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3505,79825] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:380:1] |
Generators of the group modulo torsion |
j |
290731267024/5117175 |
j-invariant |
L |
6.4901071185441 |
L(r)(E,1)/r! |
Ω |
1.0809173442622 |
Real period |
R |
1.5010646267982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999363419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gg2 7980c2 |
Quadratic twists by: -4 8 |