Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600j |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-16416015625000000 = -1 · 26 · 516 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29992,5841238] |
[a1,a2,a3,a4,a6] |
Generators |
[853:25550:1] |
Generators of the group modulo torsion |
j |
2983496371136/16416015625 |
j-invariant |
L |
2.983816621355 |
L(r)(E,1)/r! |
Ω |
0.28219327723365 |
Real period |
R |
5.2868315126902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600f1 32800b2 13120q1 |
Quadratic twists by: -4 8 5 |