Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gw |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
239625041040000000 = 210 · 38 · 57 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-175463,15657417] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:-6491:1] |
Generators of the group modulo torsion |
j |
111472148624383/44711377920 |
j-invariant |
L |
12.023846615907 |
L(r)(E,1)/r! |
Ω |
0.28404184411932 |
Real period |
R |
0.088190106401427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170j1 80850es1 |
Quadratic twists by: 5 -7 |