Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658k |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-11466413002512 = -1 · 24 · 35 · 137 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 1 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8116,324482] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-274:1] |
Generators of the group modulo torsion |
j |
-12246522625/2375568 |
j-invariant |
L |
6.3033182113783 |
L(r)(E,1)/r! |
Ω |
0.68743319130857 |
Real period |
R |
0.2292338474154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666m1 |
Quadratic twists by: 13 |