Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32300p |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-221545700000000 = -1 · 28 · 58 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3 5- 1 0 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-583375,171503750] |
[a1,a2,a3,a4,a6] |
Generators |
[320850:36100:729] |
Generators of the group modulo torsion |
j |
-219567043360080/2215457 |
j-invariant |
L |
10.034952656511 |
L(r)(E,1)/r! |
Ω |
0.50620538452302 |
Real period |
R |
3.3039792948754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200cy1 32300m1 |
Quadratic twists by: -4 5 |