Atkin-Lehner |
3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225t |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
1322314453125 = 33 · 511 · 17 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 0 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19908,-1086406] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:37:1] |
Generators of the group modulo torsion |
j |
55848099303424/84628125 |
j-invariant |
L |
4.6454985767923 |
L(r)(E,1)/r! |
Ω |
0.40195770003572 |
Real period |
R |
1.9261971158143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15045a1 |
Quadratic twists by: 5 |