Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608q |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5326954771968 = -1 · 29 · 37 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3309,-83446] |
[a1,a2,a3,a4,a6] |
Generators |
[26:142:1] |
Generators of the group modulo torsion |
j |
10735357816/14271891 |
j-invariant |
L |
3.4834329624858 |
L(r)(E,1)/r! |
Ω |
0.40731028429534 |
Real period |
R |
4.2761417429172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998406634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112608v2 37536p2 |
Quadratic twists by: -4 -3 |