Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-458831100000000 = -1 · 28 · 3 · 58 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18350,-375500] |
[a1,a2,a3,a4,a6] |
Generators |
[45:715:1] |
Generators of the group modulo torsion |
j |
371694959/249600 |
j-invariant |
L |
4.1175449107485 |
L(r)(E,1)/r! |
Ω |
0.29936600606891 |
Real period |
R |
3.4385541628705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cn1 1950g1 |
Quadratic twists by: 5 -7 |