Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410x |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1400937525000000 = 26 · 310 · 58 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2916383,1917696327] |
[a1,a2,a3,a4,a6] |
Generators |
[1007:630:1] |
Generators of the group modulo torsion |
j |
3762961008553106890921/1921725000000 |
j-invariant |
L |
8.4787746624986 |
L(r)(E,1)/r! |
Ω |
0.39339234478764 |
Real period |
R |
1.7960810983931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470f4 |
Quadratic twists by: -3 |