Atkin-Lehner |
2+ 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
43240a |
Isogeny class |
Conductor |
43240 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-1016140000000 = -1 · 28 · 57 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -6 -4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2295,24475] |
[a1,a2,a3,a4,a6] |
Generators |
[15:250:1] [-2:141:1] |
Generators of the group modulo torsion |
j |
5219664241664/3969296875 |
j-invariant |
L |
6.0867122935237 |
L(r)(E,1)/r! |
Ω |
0.56150363191921 |
Real period |
R |
0.19357183956995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86480a1 |
Quadratic twists by: -4 |