Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cn |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-30827902465718460 = -1 · 22 · 39 · 5 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59612,-10121349] |
[a1,a2,a3,a4,a6] |
Generators |
[164642341968:-22349718148107:8998912] |
Generators of the group modulo torsion |
j |
-217081801/285660 |
j-invariant |
L |
9.2018874274587 |
L(r)(E,1)/r! |
Ω |
0.14564701862404 |
Real period |
R |
15.79484344131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870d1 2070p1 |
Quadratic twists by: -3 -23 |