Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bi |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-130421696800490487 = -1 · 38 · 77 · 176 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,124794,-3770145] |
[a1,a2,a3,a4,a6] |
Generators |
[35157127566195930:1231527282541598667:30356728739875] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
10.238657796867 |
L(r)(E,1)/r! |
Ω |
0.19100447275509 |
Real period |
R |
26.802141797253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998744795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42483v1 18207e1 441c1 |
Quadratic twists by: -3 -7 17 |