Atkin-Lehner |
3+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583i |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2906851059 = -1 · 32 · 72 · 193 · 312 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -3 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,279,-1758] |
[a1,a2,a3,a4,a6] |
Generators |
[10:41:1] |
Generators of the group modulo torsion |
j |
49005288479/59323491 |
j-invariant |
L |
2.6670216340188 |
L(r)(E,1)/r! |
Ω |
0.76644005949097 |
Real period |
R |
0.86993809690353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86583s1 |
Quadratic twists by: -7 |