Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68952p |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
422773947648 = 28 · 32 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -6 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1876,-688] |
[a1,a2,a3,a4,a6] |
Generators |
[368:7020:1] |
Generators of the group modulo torsion |
j |
1298923792/751689 |
j-invariant |
L |
10.947157601128 |
L(r)(E,1)/r! |
Ω |
0.79658147177466 |
Real period |
R |
3.43566790998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68952bf2 |
Quadratic twists by: 13 |