Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680k |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0586356815177E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6569740,-6464681700] |
[a1,a2,a3,a4,a6] |
Generators |
[-313424638:632282084:205379] |
Generators of the group modulo torsion |
j |
1041214291261679824/3514943289725 |
j-invariant |
L |
4.5863165490589 |
L(r)(E,1)/r! |
Ω |
0.094319319319791 |
Real period |
R |
12.156355173647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999929152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840m2 16240d2 |
Quadratic twists by: -4 -7 |