Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350g |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2.0047398199296E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1219000,855304000] |
[a1,a2,a3,a4,a6] |
Generators |
[150240720:-99508835560:343] |
Generators of the group modulo torsion |
j |
-2656166199049/2658140160 |
j-invariant |
L |
3.8393366094849 |
L(r)(E,1)/r! |
Ω |
0.16257873325326 |
Real period |
R |
11.807622475149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050ew1 5070w1 1950q1 |
Quadratic twists by: -3 5 13 |