Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560cy |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-774612159713280 = -1 · 212 · 38 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,1339072] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:972:1] [77:1323:1] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
10.144504927511 |
L(r)(E,1)/r! |
Ω |
0.40266277690738 |
Real period |
R |
3.1491937886178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560db2 23520s2 10080bv2 |
Quadratic twists by: -4 -3 -7 |