Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34104x |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-137728390128 = -1 · 24 · 3 · 76 · 293 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 1 -1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1780,33389] |
[a1,a2,a3,a4,a6] |
j |
-331527424/73167 |
j-invariant |
L |
1.9801831613398 |
L(r)(E,1)/r! |
Ω |
0.99009158067231 |
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 |
68208j1 102312t1 696e1 |
Quadratic twists by: -4 -3 -7 |