Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850fd |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1112702976000 = 218 · 32 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17928,915081] |
[a1,a2,a3,a4,a6] |
Generators |
[69:77:1] |
Generators of the group modulo torsion |
j |
14863347230003/25952256 |
j-invariant |
L |
8.8843486179617 |
L(r)(E,1)/r! |
Ω |
0.87060765711509 |
Real period |
R |
0.28346576058653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850da1 80850he1 |
Quadratic twists by: 5 -7 |