Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394z |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
193155840 |
Modular degree for the optimal curve |
Δ |
2.7686421101534E+26 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20354174047,-1117709357719438] |
[a1,a2,a3,a4,a6] |
Generators |
[-442369396762780:262346491853278:5368567751] |
Generators of the group modulo torsion |
j |
517766132394291166977599/153715016466432 |
j-invariant |
L |
7.3308739571912 |
L(r)(E,1)/r! |
Ω |
0.012639683272811 |
Real period |
R |
16.110798293324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394bb1 |
Quadratic twists by: -23 |