Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350p |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-422364375000 = -1 · 23 · 38 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 3 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3942,-99284] |
[a1,a2,a3,a4,a6] |
Generators |
[929:27773:1] |
Generators of the group modulo torsion |
j |
-594823321/37080 |
j-invariant |
L |
5.0001781486753 |
L(r)(E,1)/r! |
Ω |
0.30017284762353 |
Real period |
R |
4.1644157593533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450x1 9270s1 |
Quadratic twists by: -3 5 |