Atkin-Lehner |
2+ 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bb |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-461985276205968750 = -1 · 2 · 311 · 56 · 193 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261234,60979338] |
[a1,a2,a3,a4,a6] |
Generators |
[-3354:80337:8] |
Generators of the group modulo torsion |
j |
-2704495231520617249/633724658718750 |
j-invariant |
L |
5.3956384567495 |
L(r)(E,1)/r! |
Ω |
0.28256652571381 |
Real period |
R |
1.591259038652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13110bi2 |
Quadratic twists by: -3 |