Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3408g |
Isogeny class |
Conductor |
3408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2136520569913344 = -1 · 221 · 315 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368104,-85867664] |
[a1,a2,a3,a4,a6] |
Generators |
[1417860:59007104:729] |
Generators of the group modulo torsion |
j |
-1346717656727992297/521611467264 |
j-invariant |
L |
3.5612430525239 |
L(r)(E,1)/r! |
Ω |
0.096909585566566 |
Real period |
R |
9.1870247708307 |
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 |
426c1 13632u1 10224p1 85200da1 |
Quadratic twists by: -4 8 -3 5 |