Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525bj |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.8357517753455E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1384888,677020406] |
[a1,a2,a3,a4,a6] |
Generators |
[601:-8190:1] [-526:35763:1] |
Generators of the group modulo torsion |
j |
-1278348920477/123409881 |
j-invariant |
L |
5.8320042709724 |
L(r)(E,1)/r! |
Ω |
0.20516211290398 |
Real period |
R |
1.7766451212097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525cx2 12075w2 |
Quadratic twists by: 5 -7 |