Atkin-Lehner |
2- 3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530bc |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
10184076562500 = 22 · 32 · 58 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9840,-346995] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:143:1] |
Generators of the group modulo torsion |
j |
105368734931132161/10184076562500 |
j-invariant |
L |
7.3114944999641 |
L(r)(E,1)/r! |
Ω |
0.4823242352121 |
Real period |
R |
1.894859817885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76590k2 127650x2 |
Quadratic twists by: -3 5 |