Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ca |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18701198917632 = 215 · 32 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10141889,12434963073] |
[a1,a2,a3,a4,a6] |
Generators |
[1727:8232:1] |
Generators of the group modulo torsion |
j |
29925549856274696/4851 |
j-invariant |
L |
4.7621676428882 |
L(r)(E,1)/r! |
Ω |
0.39653667684159 |
Real period |
R |
1.5011750246344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488dh4 51744ci4 14784bl3 |
Quadratic twists by: -4 8 -7 |