Atkin-Lehner |
2- 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bk |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-21758220000000 = -1 · 28 · 35 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5875,140625] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-550:1] |
Generators of the group modulo torsion |
j |
87585746345984/84993046875 |
j-invariant |
L |
5.5032936841018 |
L(r)(E,1)/r! |
Ω |
0.44642198727587 |
Real period |
R |
0.44026998747515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24420p1 |
Quadratic twists by: -4 |