Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
870c |
Isogeny class |
Conductor |
870 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-709593750 = -1 · 2 · 33 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,212,488] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
1060895910599/709593750 |
j-invariant |
L |
2.0033437921929 |
L(r)(E,1)/r! |
Ω |
1.0094936140882 |
Real period |
R |
1.9845036800974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6960ba2 27840r2 2610l2 4350p2 |
Quadratic twists by: -4 8 -3 5 |