Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658s |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-1132485234816 = -1 · 27 · 3 · 137 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 2 13+ 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7355,-251191] |
[a1,a2,a3,a4,a6] |
Generators |
[109:452:1] |
Generators of the group modulo torsion |
j |
-9116230969/234624 |
j-invariant |
L |
9.149666761438 |
L(r)(E,1)/r! |
Ω |
0.25737336635404 |
Real period |
R |
1.2696489055468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666b1 |
Quadratic twists by: 13 |