Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520h |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-176295308716800 = -1 · 28 · 39 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7047,-678186] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2548:1] |
Generators of the group modulo torsion |
j |
-7680778992/34987225 |
j-invariant |
L |
7.5712048240865 |
L(r)(E,1)/r! |
Ω |
0.23628182395295 |
Real period |
R |
2.0026944670485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760bb2 65520b2 |
Quadratic twists by: -4 -3 |