Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400c |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-607600000000 = -1 · 210 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2075,-52250] |
[a1,a2,a3,a4,a6] |
Generators |
[90:700:1] [279:4592:1] |
Generators of the group modulo torsion |
j |
-61752996/37975 |
j-invariant |
L |
9.1228799303846 |
L(r)(E,1)/r! |
Ω |
0.34406004490973 |
Real period |
R |
6.6288428904749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800e1 8680h1 |
Quadratic twists by: -4 5 |