Atkin-Lehner |
3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975bb |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
27056436328125 = 311 · 58 · 17 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 -2 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-441075,112749781] |
[a1,a2,a3,a4,a6] |
Generators |
[2770:9921:8] |
Generators of the group modulo torsion |
j |
833131367796736/2375325 |
j-invariant |
L |
10.592240960639 |
L(r)(E,1)/r! |
Ω |
0.58012138252823 |
Real period |
R |
4.5646658095058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29325g1 17595o1 |
Quadratic twists by: -3 5 |