Atkin-Lehner |
2- 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
104580ba |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
963072 |
Modular degree for the optimal curve |
Δ |
-47649262500000000 = -1 · 28 · 38 · 511 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,83553,4887286] |
[a1,a2,a3,a4,a6] |
j |
345654617216816/255322265625 |
j-invariant |
L |
5.0218165745082 |
L(r)(E,1)/r! |
Ω |
0.22826440633231 |
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 |
34860i1 |
Quadratic twists by: -3 |