Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650co |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-176509516837500000 = -1 · 25 · 39 · 58 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,55645,-19585853] |
[a1,a2,a3,a4,a6] |
Generators |
[439:-9670:1] |
Generators of the group modulo torsion |
j |
61958108493/573927200 |
j-invariant |
L |
8.845402779662 |
L(r)(E,1)/r! |
Ω |
0.15865263345456 |
Real period |
R |
1.3938316980719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650f2 6930c2 |
Quadratic twists by: -3 5 |