Atkin-Lehner |
2- 3+ 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274y |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-188150089568112 = -1 · 24 · 310 · 75 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8848,580673] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2951:1] |
Generators of the group modulo torsion |
j |
76604800565276927/188150089568112 |
j-invariant |
L |
8.0268675773769 |
L(r)(E,1)/r! |
Ω |
0.39624577931686 |
Real period |
R |
5.0643237078863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822k1 |
Quadratic twists by: -3 |