Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190q |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3.5065578654718E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1139571,-8997566747] |
[a1,a2,a3,a4,a6] |
Generators |
[11419291:-392679248:4913] |
Generators of the group modulo torsion |
j |
224501959288069776431/48100930939256832000 |
j-invariant |
L |
3.1341226269165 |
L(r)(E,1)/r! |
Ω |
0.054679655886519 |
Real period |
R |
9.5529820494267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520ee1 2730r1 40950eu1 57330br1 |
Quadratic twists by: -4 -3 5 -7 |