Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394bf |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5575680 |
Modular degree for the optimal curve |
Δ |
2.8749726543325E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 3 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16359865,25449455063] |
[a1,a2,a3,a4,a6] |
Generators |
[-2699:224850:1] |
Generators of the group modulo torsion |
j |
3271115240450170849/1942078149936 |
j-invariant |
L |
11.101532866688 |
L(r)(E,1)/r! |
Ω |
0.17128983329897 |
Real period |
R |
8.1014242380775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278l1 |
Quadratic twists by: -23 |