Atkin-Lehner |
2+ 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050c |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-3754687500 = -1 · 22 · 33 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-2959] |
[a1,a2,a3,a4,a6] |
Generators |
[19:28:1] [20:39:1] |
Generators of the group modulo torsion |
j |
-16875/356 |
j-invariant |
L |
6.7302760431183 |
L(r)(E,1)/r! |
Ω |
0.60384801661139 |
Real period |
R |
0.92880380741137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40050x1 40050u1 |
Quadratic twists by: -3 5 |