Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616a |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
4 |
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 |
[92:243:1] |
Generators of the group modulo torsion |
j |
-5109778215424/649372059 |
j-invariant |
L |
3.5591368281732 |
L(r)(E,1)/r! |
Ω |
0.27229710632014 |
Real period |
R |
3.2676961539102 |
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 |
35616k1 71232cy1 106848bc1 |
Quadratic twists by: -4 8 -3 |