Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800r |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-17870883100000000 = -1 · 28 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95908,13149312] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:4200:1] |
Generators of the group modulo torsion |
j |
-24391176723664/4467720775 |
j-invariant |
L |
11.346315586411 |
L(r)(E,1)/r! |
Ω |
0.37313006978062 |
Real period |
R |
1.9005295511664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400n2 17360a2 |
Quadratic twists by: -4 5 |