Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234a |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-1009864741552128 = -1 · 216 · 35 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13255,1632373] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1345:1] |
Generators of the group modulo torsion |
j |
-44681709625/175177728 |
j-invariant |
L |
2.1954201555601 |
L(r)(E,1)/r! |
Ω |
0.4307411453131 |
Real period |
R |
2.5484216906703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25872cf1 103488cl1 9702bo1 80850fl1 |
Quadratic twists by: -4 8 -3 5 |