Atkin-Lehner |
2- 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700i |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
997671431250000 = 24 · 35 · 58 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39533,-2602938] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:325:1] |
Generators of the group modulo torsion |
j |
27332163272704/3990685725 |
j-invariant |
L |
4.4327501059653 |
L(r)(E,1)/r! |
Ω |
0.34187995676622 |
Real period |
R |
1.0804840522908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940f1 |
Quadratic twists by: 5 |