Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650a |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-151559100000000 = -1 · 28 · 39 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16917,-1029259] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2259:1] |
Generators of the group modulo torsion |
j |
-1740992427/492800 |
j-invariant |
L |
3.5519368314689 |
L(r)(E,1)/r! |
Ω |
0.20628225422923 |
Real period |
R |
4.3047047899738 |
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 |
34650cn1 6930u1 |
Quadratic twists by: -3 5 |