Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600d |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
3.1137878233501E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1742258,-249831988] |
[a1,a2,a3,a4,a6] |
Generators |
[-31911:338300:27] |
Generators of the group modulo torsion |
j |
584872717700154304/311378782335005 |
j-invariant |
L |
8.5006125178155 |
L(r)(E,1)/r! |
Ω |
0.13963130259444 |
Real period |
R |
7.6098736094645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600s1 123200ey2 12320k1 |
Quadratic twists by: -4 8 5 |