Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240d |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3312576000000 = 212 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,-99232] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:124:1] [-38:180:1] |
Generators of the group modulo torsion |
j |
4378747456/1109375 |
j-invariant |
L |
10.695107184719 |
L(r)(E,1)/r! |
Ω |
0.5810279392557 |
Real period |
R |
4.6018041730811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bc2 11360n2 |
Quadratic twists by: -4 -3 |