Atkin-Lehner |
2+ 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280h |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
216033280 = 211 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -3 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3040,63508] |
[a1,a2,a3,a4,a6] |
Generators |
[12:170:1] |
Generators of the group modulo torsion |
j |
1517600157122/105485 |
j-invariant |
L |
9.1638273857613 |
L(r)(E,1)/r! |
Ω |
1.6865343628923 |
Real period |
R |
1.358381361986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49640i1 |
Quadratic twists by: -4 |