Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962u |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2459748672304 = 24 · 73 · 117 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11- 3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5992,-164295] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:145:1] |
Generators of the group modulo torsion |
j |
13430356633/1388464 |
j-invariant |
L |
4.7956033697208 |
L(r)(E,1)/r! |
Ω |
0.54625583912642 |
Real period |
R |
1.09738034503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542f1 |
Quadratic twists by: -11 |