Atkin-Lehner |
2+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106808b |
Isogeny class |
Conductor |
106808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1042944 |
Modular degree for the optimal curve |
Δ |
-11152200556616704 = -1 · 210 · 1310 · 79 |
Discriminant |
Eigenvalues |
2+ -2 2 4 -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71712,-8993360] |
[a1,a2,a3,a4,a6] |
Generators |
[164952079555634:11291201395956625:35094254824] |
Generators of the group modulo torsion |
j |
-8251733668/2256319 |
j-invariant |
L |
5.6225484827932 |
L(r)(E,1)/r! |
Ω |
0.14382442040788 |
Real period |
R |
19.546570813513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8216c1 |
Quadratic twists by: 13 |