Atkin-Lehner |
2- 3+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360z |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
613709429760 = 210 · 33 · 5 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2427,26406] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:196:1] [10:56:1] |
Generators of the group modulo torsion |
j |
57183313932/22197245 |
j-invariant |
L |
12.022191514757 |
L(r)(E,1)/r! |
Ω |
0.83289157053485 |
Real period |
R |
3.6085704133175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360d2 |
Quadratic twists by: -3 |