Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725f |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.0373189608691E+27 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-349681626,-1983292257977] |
[a1,a2,a3,a4,a6] |
Generators |
[-7580868077:-511140080946:704969] |
Generators of the group modulo torsion |
j |
302637069626404192074729361/66388413495623699390625 |
j-invariant |
L |
6.4373199960612 |
L(r)(E,1)/r! |
Ω |
0.035457963306295 |
Real period |
R |
11.346745899599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32175i6 2145e5 117975bz6 |
Quadratic twists by: -3 5 -11 |