Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234p |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-4649209887168 = -1 · 26 · 36 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3772,-51451] |
[a1,a2,a3,a4,a6] |
Generators |
[57:565:1] |
Generators of the group modulo torsion |
j |
50447927375/39517632 |
j-invariant |
L |
4.2560608972962 |
L(r)(E,1)/r! |
Ω |
0.43001477546391 |
Real period |
R |
0.82478966230573 |
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 |
25872ct1 103488dp1 9702u1 80850bx1 |
Quadratic twists by: -4 8 -3 5 |