Atkin-Lehner |
2- 3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bx |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1360800 |
Modular degree for the optimal curve |
Δ |
-737814919721779200 = -1 · 227 · 3 · 52 · 77 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,88872,-40011879] |
[a1,a2,a3,a4,a6] |
Generators |
[261:893:1] |
Generators of the group modulo torsion |
j |
3105119076248596055/29512596788871168 |
j-invariant |
L |
6.7382162737611 |
L(r)(E,1)/r! |
Ω |
0.14073498095282 |
Real period |
R |
1.773287382356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450bo1 |
Quadratic twists by: 5 |