Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600l |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
-690077256300000000 = -1 · 28 · 35 · 58 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 2 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5037833,-4350753963] |
[a1,a2,a3,a4,a6] |
Generators |
[14081631764016493318356:256120522854665698409613:5130373690322037431] |
Generators of the group modulo torsion |
j |
-141401852452264960/6900772563 |
j-invariant |
L |
6.8136329065193 |
L(r)(E,1)/r! |
Ω |
0.050385704866379 |
Real period |
R |
33.807371180917 |
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 |
43800z1 87600m1 |
Quadratic twists by: -4 5 |