Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84825r |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-306399609826171875 = -1 · 315 · 59 · 13 · 292 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 -5 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-297300,-67839719] |
[a1,a2,a3,a4,a6] |
Generators |
[835:16312:1] |
Generators of the group modulo torsion |
j |
-255129621889024/26899279875 |
j-invariant |
L |
2.3634294338664 |
L(r)(E,1)/r! |
Ω |
0.10162261666335 |
Real period |
R |
1.4535577267383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28275f1 16965m1 |
Quadratic twists by: -3 5 |