Atkin-Lehner |
3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075b |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.8803430727952E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,258062,-2581542094] |
[a1,a2,a3,a4,a6] |
Generators |
[3206047:-67706664:2197] |
Generators of the group modulo torsion |
j |
121639816754787239/184341956658895035 |
j-invariant |
L |
2.80359514922 |
L(r)(E,1)/r! |
Ω |
0.066491308272887 |
Real period |
R |
10.541209146976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015w4 |
Quadratic twists by: 5 |