Atkin-Lehner |
2- 3- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410u |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9985944942090000 = -1 · 24 · 38 · 54 · 134 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50918,6545157] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-1575:1] [-109:3339:1] |
Generators of the group modulo torsion |
j |
-20026368247731481/13698141210000 |
j-invariant |
L |
14.539408748253 |
L(r)(E,1)/r! |
Ω |
0.37594332983747 |
Real period |
R |
2.4171543278578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470d2 |
Quadratic twists by: -3 |