Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76664c |
Isogeny class |
Conductor |
76664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1796649994465E+22 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ -4 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23063543,-42951211350] |
[a1,a2,a3,a4,a6] |
Generators |
[19106580306640295018629485257220675144420344059159433925997096031415735195:257985237337747985166856070561480160031698524821868962085382352256726221296:3392639201559173383295635160533564428461523936307825032938591546676125] |
Generators of the group modulo torsion |
j |
-2065624967846736/17960084863 |
j-invariant |
L |
7.9237752929081 |
L(r)(E,1)/r! |
Ω |
0.034428073775743 |
Real period |
R |
115.07723819406 |
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 |
2072e2 |
Quadratic twists by: 37 |