Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248o |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-47742976 = -1 · 215 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 0 1 0 3 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332,2352] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
-123505992/1457 |
j-invariant |
L |
7.1705665275634 |
L(r)(E,1)/r! |
Ω |
2.0200859242895 |
Real period |
R |
0.88740860348385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248a1 46624e1 |
Quadratic twists by: -4 8 |