Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800p |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
18560 |
Modular degree for the optimal curve |
Δ |
-412128000 = -1 · 28 · 35 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1153,14723] |
[a1,a2,a3,a4,a6] |
Generators |
[23:30:1] [-7:150:1] |
Generators of the group modulo torsion |
j |
-5301982208/12879 |
j-invariant |
L |
9.1990994999834 |
L(r)(E,1)/r! |
Ω |
1.6856193398728 |
Real period |
R |
0.13643500763164 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63600i1 95400bh1 31800u1 |
Quadratic twists by: -4 -3 5 |