Atkin-Lehner |
2+ 3- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238u |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8787970695189659688 = 23 · 37 · 11 · 13 · 378 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-516141,5418589] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:52291:1] |
Generators of the group modulo torsion |
j |
20859396235189261777/12054829485856872 |
j-invariant |
L |
5.912082211233 |
L(r)(E,1)/r! |
Ω |
0.19662572301266 |
Real period |
R |
7.5169236789172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999998945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746bf3 |
Quadratic twists by: -3 |