Atkin-Lehner |
3+ 13+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421b |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
73524015981 = 39 · 132 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 2 -2 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3539,-79082] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:49:1] [-31:25:1] |
Generators of the group modulo torsion |
j |
248976900171/3735407 |
j-invariant |
L |
7.2281862133333 |
L(r)(E,1)/r! |
Ω |
0.61956048670115 |
Real period |
R |
5.83331762476 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83421a2 |
Quadratic twists by: -3 |