Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75712bp |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-309749174239232 = -1 · 223 · 75 · 133 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -5 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3103,845183] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:896:1] |
Generators of the group modulo torsion |
j |
5735339/537824 |
j-invariant |
L |
8.4107601368677 |
L(r)(E,1)/r! |
Ω |
0.4171273519639 |
Real period |
R |
0.50408826563348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712cj2 2366h2 75712v2 |
Quadratic twists by: -4 8 13 |