Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640q |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
86122400000 = 28 · 55 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216636,38882336] |
[a1,a2,a3,a4,a6] |
Generators |
[14088:222040:27] |
Generators of the group modulo torsion |
j |
1999160117594512/153125 |
j-invariant |
L |
8.3528264102572 |
L(r)(E,1)/r! |
Ω |
0.82035692699205 |
Real period |
R |
5.0909708457831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47320f2 94640bc2 |
Quadratic twists by: -4 13 |