Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310o |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-166916505600 = -1 · 214 · 36 · 52 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1815,36125] |
[a1,a2,a3,a4,a6] |
Generators |
[31:79:1] |
Generators of the group modulo torsion |
j |
-907320368241/228966400 |
j-invariant |
L |
4.9900813200801 |
L(r)(E,1)/r! |
Ω |
0.97054914697092 |
Real period |
R |
2.5707514841744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5590h1 |
Quadratic twists by: -3 |