Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560cc |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1452397799462400 = -1 · 29 · 39 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1323,-1833678] |
[a1,a2,a3,a4,a6] |
Generators |
[76902:1413503:216] |
Generators of the group modulo torsion |
j |
-216/1225 |
j-invariant |
L |
5.8713342756592 |
L(r)(E,1)/r! |
Ω |
0.21753635031255 |
Real period |
R |
6.7475323856407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560cb2 70560l2 10080bk2 |
Quadratic twists by: -4 -3 -7 |