Atkin-Lehner |
2- 3- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
68328j |
Isogeny class |
Conductor |
68328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-103430006784 = -1 · 211 · 36 · 13 · 732 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,16742] |
[a1,a2,a3,a4,a6] |
Generators |
[2230:12994:125] |
Generators of the group modulo torsion |
j |
-20436626/69277 |
j-invariant |
L |
8.803139221298 |
L(r)(E,1)/r! |
Ω |
0.92994244414167 |
Real period |
R |
4.7331634752629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7592b1 |
Quadratic twists by: -3 |