Atkin-Lehner |
3+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225g |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-151790136901171875 = -1 · 318 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42263,-19058344] |
[a1,a2,a3,a4,a6] |
Generators |
[516:-10100:1] [485:8407:1] |
Generators of the group modulo torsion |
j |
-21372005884945/388582750467 |
j-invariant |
L |
5.9039635321714 |
L(r)(E,1)/r! |
Ω |
0.139851480893 |
Real period |
R |
7.0359921520998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225q1 |
Quadratic twists by: 5 |