Atkin-Lehner |
2+ 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322f |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-285249648854016 = -1 · 210 · 39 · 73 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15410,-342400] |
[a1,a2,a3,a4,a6] |
Generators |
[37:509:1] |
Generators of the group modulo torsion |
j |
404736284197781927/285249648854016 |
j-invariant |
L |
3.5037469232113 |
L(r)(E,1)/r! |
Ω |
0.30918864464446 |
Real period |
R |
0.62955936518595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114576y1 42966bi1 100254j1 |
Quadratic twists by: -4 -3 -7 |