Atkin-Lehner |
2- 3- 7+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838r |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-5.1557267706144E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4001335,1562192713] |
[a1,a2,a3,a4,a6] |
Generators |
[391:56252:1] |
Generators of the group modulo torsion |
j |
9718763732247834696375/7072327531706974208 |
j-invariant |
L |
10.356830437416 |
L(r)(E,1)/r! |
Ω |
0.086701676905681 |
Real period |
R |
1.6590782590302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9982b1 |
Quadratic twists by: -3 |