Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920s |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-564265517977728000 = -1 · 210 · 38 · 53 · 74 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,138237,30245938] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:3726:1] |
Generators of the group modulo torsion |
j |
391353415004156/755885521125 |
j-invariant |
L |
4.8304804693604 |
L(r)(E,1)/r! |
Ω |
0.20081566894076 |
Real period |
R |
1.5033937957001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999526382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960p3 38640x3 |
Quadratic twists by: -4 -3 |