Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360s |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-8262545841361647360 = -1 · 28 · 312 · 5 · 710 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1351047,620060474] |
[a1,a2,a3,a4,a6] |
Generators |
[355:13608:1] |
Generators of the group modulo torsion |
j |
-1461394911581736784/44273758152015 |
j-invariant |
L |
7.1073391118865 |
L(r)(E,1)/r! |
Ω |
0.2319643264624 |
Real period |
R |
1.5319896774863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120u2 |
Quadratic twists by: -3 |