Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800x |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-24202800 = -1 · 24 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163,892] |
[a1,a2,a3,a4,a6] |
Generators |
[1:27:1] |
Generators of the group modulo torsion |
j |
-1204725760/60507 |
j-invariant |
L |
4.240086617812 |
L(r)(E,1)/r! |
Ω |
2.1055225283023 |
Real period |
R |
0.50344826056597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600t1 49800o1 |
Quadratic twists by: -4 5 |