Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800u |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5875200 |
Modular degree for the optimal curve |
Δ |
-2.871560628747E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26715208,-53760683588] |
[a1,a2,a3,a4,a6] |
j |
-210862527562533700/2871560628747 |
j-invariant |
L |
0.53082095972328 |
L(r)(E,1)/r! |
Ω |
0.033176309967411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600be1 49800r1 |
Quadratic twists by: -4 5 |