Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fm |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
74982457060245504 = 214 · 38 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408529,99772849] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:10976:1] |
Generators of the group modulo torsion |
j |
3911877700432/38900169 |
j-invariant |
L |
2.9468657351602 |
L(r)(E,1)/r! |
Ω |
0.34617113783665 |
Real period |
R |
2.1281856050365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018555 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488eb2 25872w2 14784cl2 |
Quadratic twists by: -4 8 -7 |