Atkin-Lehner |
3- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265g |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5710727415116025 = 310 · 52 · 372 · 414 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-524835,-146170184] |
[a1,a2,a3,a4,a6] |
Generators |
[473799480:9187441892:456533] |
Generators of the group modulo torsion |
j |
21931332409505248561/7833645288225 |
j-invariant |
L |
5.0253237820912 |
L(r)(E,1)/r! |
Ω |
0.17737937820867 |
Real period |
R |
14.165467913398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22755e2 |
Quadratic twists by: -3 |