Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280g |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
981912960000 = 210 · 32 · 54 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14040,-633888] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:30:1] |
Generators of the group modulo torsion |
j |
298920714150244/958899375 |
j-invariant |
L |
3.838021739335 |
L(r)(E,1)/r! |
Ω |
0.43867103563545 |
Real period |
R |
1.0936503399622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999794948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59640j4 |
Quadratic twists by: -4 |