Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600cf |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
209088000000 = 212 · 33 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6675,-208750] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:26:1] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
5.624274172946 |
L(r)(E,1)/r! |
Ω |
0.52838813405713 |
Real period |
R |
2.6610524586171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2475a2 39600by2 1584k2 |
Quadratic twists by: -4 -3 5 |