Atkin-Lehner |
3- 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
86925n |
Isogeny class |
Conductor |
86925 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
7060483125 = 33 · 54 · 193 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-483,-781] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] |
Generators of the group modulo torsion |
j |
19979468800/11296773 |
j-invariant |
L |
7.8340793958123 |
L(r)(E,1)/r! |
Ω |
1.0977003552262 |
Real period |
R |
2.3789368265888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961584 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86925f1 |
Quadratic twists by: 5 |