Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
48416b |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1172054528 = 29 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 0 0 0 -2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-515,4186] |
[a1,a2,a3,a4,a6] |
Generators |
[10:6:1] [42:238:1] |
Generators of the group modulo torsion |
j |
29503629000/2289169 |
j-invariant |
L |
9.4022520481024 |
L(r)(E,1)/r! |
Ω |
1.5072175280127 |
Real period |
R |
6.2381520074947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416a2 96832p2 |
Quadratic twists by: -4 8 |