Atkin-Lehner |
2+ 3- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410d |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-129508891200000 = -1 · 29 · 38 · 55 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16740,-993200] |
[a1,a2,a3,a4,a6] |
Generators |
[171:974:1] |
Generators of the group modulo torsion |
j |
-711667507775041/177652800000 |
j-invariant |
L |
3.5073808402219 |
L(r)(E,1)/r! |
Ω |
0.20713865502892 |
Real period |
R |
4.2331317182491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28470m1 |
Quadratic twists by: -3 |