Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320r |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-136633922979840 = -1 · 211 · 33 · 5 · 113 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201136,34657844] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-2028:1] |
Generators of the group modulo torsion |
j |
-439405355845493858/66715782705 |
j-invariant |
L |
5.5669361229062 |
L(r)(E,1)/r! |
Ω |
0.56332557247128 |
Real period |
R |
0.16470452123817 |
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 |
17160s1 102960bv1 |
Quadratic twists by: -4 -3 |