Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450o |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-13474019161250 = -1 · 2 · 54 · 476 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 3 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1151,177148] |
[a1,a2,a3,a4,a6] |
Generators |
[-77704:324252:1331] |
Generators of the group modulo torsion |
j |
-25/2 |
j-invariant |
L |
6.4942311267575 |
L(r)(E,1)/r! |
Ω |
0.58257507260183 |
Real period |
R |
5.573728976113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450bc3 50a1 |
Quadratic twists by: 5 -47 |