Atkin-Lehner |
3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53025b |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32687530517578125 = 3 · 516 · 7 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -6 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167188,-24902344] |
[a1,a2,a3,a4,a6] |
Generators |
[7790:213251:8] |
Generators of the group modulo torsion |
j |
33076470123963001/2092001953125 |
j-invariant |
L |
2.1644632278077 |
L(r)(E,1)/r! |
Ω |
0.23703725377173 |
Real period |
R |
4.5656604464837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605i2 |
Quadratic twists by: 5 |