Atkin-Lehner |
2- 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34860l |
Isogeny class |
Conductor |
34860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-854070000 = -1 · 24 · 3 · 54 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2430,-46947] |
[a1,a2,a3,a4,a6] |
j |
-99220465451776/53379375 |
j-invariant |
L |
4.0796258056956 |
L(r)(E,1)/r! |
Ω |
0.33996881714132 |
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 |
104580l1 |
Quadratic twists by: -3 |