Atkin-Lehner |
3+ 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025f |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
484350752197265625 = 34 · 512 · 74 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-379313,-83608594] |
[a1,a2,a3,a4,a6] |
Generators |
[-2298:11729:8] |
Generators of the group modulo torsion |
j |
386275300985012041/30998448140625 |
j-invariant |
L |
3.339157843404 |
L(r)(E,1)/r! |
Ω |
0.19335543656619 |
Real period |
R |
4.3173829279215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10605h2 |
Quadratic twists by: 5 |