Atkin-Lehner |
3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
102675a |
Isogeny class |
Conductor |
102675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4924800 |
Modular degree for the optimal curve |
Δ |
-8.3352783916289E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -2 -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2852083,-4766821557] |
[a1,a2,a3,a4,a6] |
Generators |
[85121125282347:654489058437955:37696467977] |
Generators of the group modulo torsion |
j |
-102400000/332667 |
j-invariant |
L |
4.062420012645 |
L(r)(E,1)/r! |
Ω |
0.053507863966416 |
Real period |
R |
18.9804811457 |
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 |
102675u1 2775b1 |
Quadratic twists by: 5 37 |