Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360g |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-723691795680000 = -1 · 28 · 33 · 54 · 72 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2943,-1295758] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3612:1] |
Generators of the group modulo torsion |
j |
-407840892912/104700780625 |
j-invariant |
L |
6.207815049075 |
L(r)(E,1)/r! |
Ω |
0.22673142099993 |
Real period |
R |
1.7112248383214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360bc2 |
Quadratic twists by: -3 |