Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948be |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1869814403428608 = -1 · 28 · 32 · 710 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29580,-693036] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:22149:8] |
Generators of the group modulo torsion |
j |
95033195696/62082657 |
j-invariant |
L |
6.8979052024202 |
L(r)(E,1)/r! |
Ω |
0.26755983975433 |
Real period |
R |
6.4451987010449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998200536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564h2 |
Quadratic twists by: -7 |