Atkin-Lehner |
3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
32445f |
Isogeny class |
Conductor |
32445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
22999716884025 = 312 · 52 · 75 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-324990,71391375] |
[a1,a2,a3,a4,a6] |
Generators |
[-642:4209:1] |
Generators of the group modulo torsion |
j |
5207232020167427041/31549680225 |
j-invariant |
L |
4.9806757430387 |
L(r)(E,1)/r! |
Ω |
0.60216221079495 |
Real period |
R |
4.1356595064836 |
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 |
10815k1 |
Quadratic twists by: -3 |