Atkin-Lehner |
2+ 5- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
78850d |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22032 |
Modular degree for the optimal curve |
Δ |
-63080000 = -1 · 26 · 54 · 19 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] |
Generators of the group modulo torsion |
j |
84375/100928 |
j-invariant |
L |
2.8002465336024 |
L(r)(E,1)/r! |
Ω |
0.91528240754591 |
Real period |
R |
1.5297172279102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78850g1 |
Quadratic twists by: 5 |