Atkin-Lehner |
3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525g |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-58267275732421875 = -1 · 32 · 511 · 78 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -6 -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,91467,-4668532] |
[a1,a2,a3,a4,a6] |
Generators |
[572:15312:1] [132:3112:1] |
Generators of the group modulo torsion |
j |
939524096/646875 |
j-invariant |
L |
7.0672991714211 |
L(r)(E,1)/r! |
Ω |
0.19915184726822 |
Real period |
R |
1.4786244910351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905t1 84525ch1 |
Quadratic twists by: 5 -7 |