Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525h |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
79815078369140625 = 34 · 512 · 74 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2092750,-1166056625] |
[a1,a2,a3,a4,a6] |
Generators |
[1130888:35614637:512] |
Generators of the group modulo torsion |
j |
64871816981818825441/5108165015625 |
j-invariant |
L |
4.6315557954259 |
L(r)(E,1)/r! |
Ω |
0.12552269120679 |
Real period |
R |
9.2245389078615 |
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 |
64575bd2 4305i2 |
Quadratic twists by: -3 5 |