Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32300f |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
265680 |
Modular degree for the optimal curve |
Δ |
-5265354218750000 = -1 · 24 · 510 · 173 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1418333,650635162] |
[a1,a2,a3,a4,a6] |
Generators |
[726:1748:1] |
Generators of the group modulo torsion |
j |
-2019475623116800/33698267 |
j-invariant |
L |
3.9010499141493 |
L(r)(E,1)/r! |
Ω |
0.39431019069387 |
Real period |
R |
3.2977843385047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200bi1 32300v1 |
Quadratic twists by: -4 5 |