Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600jg |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
154188748800000000 = 217 · 311 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304833,61862463] |
[a1,a2,a3,a4,a6] |
Generators |
[-606:4941:1] [-417:10800:1] |
Generators of the group modulo torsion |
j |
61184457890/3011499 |
j-invariant |
L |
12.131481240954 |
L(r)(E,1)/r! |
Ω |
0.32051359186369 |
Real period |
R |
0.28674341198216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600bo1 20400l1 81600ge1 |
Quadratic twists by: -4 8 5 |