Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525i |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
-5.9194316269584E+25 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 0 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-120847883,-631219383082] |
[a1,a2,a3,a4,a6] |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
0.089671795361725 |
L(r)(E,1)/r! |
Ω |
0.022417947694744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905bb1 12075q1 |
Quadratic twists by: 5 -7 |