Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247q |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1129223507161608369 = 38 · 72 · 378 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3191396,-2193023154] |
[a1,a2,a3,a4,a6] |
Generators |
[-1024:1173:1] |
Generators of the group modulo torsion |
j |
1921886786737/603729 |
j-invariant |
L |
2.7635761213128 |
L(r)(E,1)/r! |
Ω |
0.11295685146127 |
Real period |
R |
3.0582209972796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000027634 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28749d2 2331h2 |
Quadratic twists by: -3 37 |