Atkin-Lehner |
2+ 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550d |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15374511718750 = -1 · 2 · 512 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3724,167448] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-469:1] [38:584:1] |
Generators of the group modulo torsion |
j |
365679263951/983968750 |
j-invariant |
L |
5.0869016395517 |
L(r)(E,1)/r! |
Ω |
0.49034153912679 |
Real period |
R |
5.1871004530952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8510e2 |
Quadratic twists by: 5 |