Atkin-Lehner |
3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075b |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2864475173941E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1671313,-814234594] |
[a1,a2,a3,a4,a6] |
Generators |
[-824:2485:1] |
Generators of the group modulo torsion |
j |
33042817838684613961/823326411132225 |
j-invariant |
L |
2.80359514922 |
L(r)(E,1)/r! |
Ω |
0.13298261654577 |
Real period |
R |
5.2706045734879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004915 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015w2 |
Quadratic twists by: 5 |