Atkin-Lehner |
5+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86275d |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-916671875 = -1 · 56 · 7 · 172 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -4 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-533,-4782] |
[a1,a2,a3,a4,a6] |
Generators |
[234:489:8] [42:-213:1] |
Generators of the group modulo torsion |
j |
-1073741824/58667 |
j-invariant |
L |
7.1939246693445 |
L(r)(E,1)/r! |
Ω |
0.49515705311014 |
Real period |
R |
3.6321428848703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451b1 |
Quadratic twists by: 5 |