Atkin-Lehner |
3- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265i |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3397220354025 = -1 · 310 · 52 · 372 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -2 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2466,-75735] |
[a1,a2,a3,a4,a6] |
Generators |
[2536:126447:1] |
Generators of the group modulo torsion |
j |
2274449681951/4660110225 |
j-invariant |
L |
8.5702822450206 |
L(r)(E,1)/r! |
Ω |
0.413058076778 |
Real period |
R |
5.1870927640417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755g2 |
Quadratic twists by: -3 |