Atkin-Lehner |
2+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
85358g |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-213317660552030216 = -1 · 23 · 79 · 133 · 673 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-280599,-61491779] |
[a1,a2,a3,a4,a6] |
Generators |
[5214:43355:8] |
Generators of the group modulo torsion |
j |
-20768075179376617/1813170197384 |
j-invariant |
L |
2.5359326442421 |
L(r)(E,1)/r! |
Ω |
0.10320222402624 |
Real period |
R |
2.0477051054915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12194d2 |
Quadratic twists by: -7 |