Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32300t |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-269772830000 = -1 · 24 · 54 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- -2 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2200,46925] |
[a1,a2,a3,a4,a6] |
j |
-117758361600/26977283 |
j-invariant |
L |
4.6756867176918 |
L(r)(E,1)/r! |
Ω |
0.93513734353825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200di1 32300b1 |
Quadratic twists by: -4 5 |