Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400bl |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
24786000000000 = 210 · 36 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44208,-3584412] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:36:1] |
Generators of the group modulo torsion |
j |
4777559924/12393 |
j-invariant |
L |
6.2036233588163 |
L(r)(E,1)/r! |
Ω |
0.32929961582052 |
Real period |
R |
1.5699034812007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10200j2 81600gw2 61200cm2 20400q2 |
Quadratic twists by: -4 8 -3 5 |