Atkin-Lehner |
3+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583j |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
847572557578687521 = 32 · 710 · 192 · 314 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-897142,323682386] |
[a1,a2,a3,a4,a6] |
Generators |
[395:5382:1] |
Generators of the group modulo torsion |
j |
678764419397635537/7204247869329 |
j-invariant |
L |
3.5008517880042 |
L(r)(E,1)/r! |
Ω |
0.28275748688118 |
Real period |
R |
3.0952777079963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012439 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12369g3 |
Quadratic twists by: -7 |