Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400s |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-281750000 = -1 · 24 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 6 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-7537] |
[a1,a2,a3,a4,a6] |
Generators |
[613:15175:1] |
Generators of the group modulo torsion |
j |
-157216000/1127 |
j-invariant |
L |
8.9436018897125 |
L(r)(E,1)/r! |
Ω |
0.46251325873399 |
Real period |
R |
4.8342408140862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32200o1 2576a1 |
Quadratic twists by: -4 5 |