Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bj |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-6617259048960000 = -1 · 224 · 35 · 54 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55440,-6350400] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1370:1] |
Generators of the group modulo torsion |
j |
-4600883775494161/1615541760000 |
j-invariant |
L |
5.1009609128008 |
L(r)(E,1)/r! |
Ω |
0.15286436160294 |
Real period |
R |
4.1711495535237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bf1 |
Quadratic twists by: -4 |