Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952bz |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
493815251817216 = 28 · 39 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -4 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13808151,19749286242] |
[a1,a2,a3,a4,a6] |
j |
10023392043504/17 |
j-invariant |
L |
2.026982433984 |
L(r)(E,1)/r! |
Ω |
0.33783048170747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29988c1 119952ch1 119952dj1 |
Quadratic twists by: -4 -3 -7 |