Atkin-Lehner |
2- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504o |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,-44] |
[a1,a2,a3,a4,a6] |
j |
174456832/22981 |
j-invariant |
L |
2.0692846470239 |
L(r)(E,1)/r! |
Ω |
2.0692846470239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1876b1 30016bm1 67536bm1 52528ba1 |
Quadratic twists by: -4 8 -3 -7 |