Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ez |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-1429450721118560448 = -1 · 26 · 37 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 1 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403139,-113950647] |
[a1,a2,a3,a4,a6] |
Generators |
[6256:492107:1] |
Generators of the group modulo torsion |
j |
-19639251778048/3874403907 |
j-invariant |
L |
5.0751728895379 |
L(r)(E,1)/r! |
Ω |
0.093736384759178 |
Real period |
R |
3.0079467187498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999452014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gx1 51744ce1 103488il1 |
Quadratic twists by: -4 8 -7 |