Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525d |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-3287828145328125 = -1 · 3 · 56 · 78 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 -7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44125,-4528250] |
[a1,a2,a3,a4,a6] |
Generators |
[72570:1574002:125] |
Generators of the group modulo torsion |
j |
-105484561/36501 |
j-invariant |
L |
3.4902883391095 |
L(r)(E,1)/r! |
Ω |
0.16187650137267 |
Real period |
R |
7.1871422766693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381k1 84525bx1 |
Quadratic twists by: 5 -7 |