Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616k |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2659827953664 = -1 · 212 · 36 · 75 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5741,183003] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-252:1] |
Generators of the group modulo torsion |
j |
-5109778215424/649372059 |
j-invariant |
L |
7.0133998018943 |
L(r)(E,1)/r! |
Ω |
0.78513328208651 |
Real period |
R |
0.14887917677823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616a1 71232cm1 106848bh1 |
Quadratic twists by: -4 8 -3 |