Atkin-Lehner |
3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975bk |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
-653028802734375 = -1 · 37 · 59 · 172 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11695,-1131928] |
[a1,a2,a3,a4,a6] |
Generators |
[70:126:1] [138:-1829:1] |
Generators of the group modulo torsion |
j |
124251499/458643 |
j-invariant |
L |
6.5738863380432 |
L(r)(E,1)/r! |
Ω |
0.26009879210882 |
Real period |
R |
3.1593218317056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29325t1 87975bi1 |
Quadratic twists by: -3 5 |