Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752o |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7541462403072 = 211 · 312 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14691,672514] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:972:1] |
Generators of the group modulo torsion |
j |
234866084546/5051241 |
j-invariant |
L |
5.3002379764785 |
L(r)(E,1)/r! |
Ω |
0.74158628460979 |
Real period |
R |
0.89339536179217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38376h2 25584j2 |
Quadratic twists by: -4 -3 |