Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
726f |
Isogeny class |
Conductor |
726 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
4074533610048 = 26 · 33 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4298,46487] |
[a1,a2,a3,a4,a6] |
j |
3723875/1728 |
j-invariant |
L |
2.0961696606949 |
L(r)(E,1)/r! |
Ω |
0.69872322023162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5808y1 23232bg1 2178b1 18150x1 |
Quadratic twists by: -4 8 -3 5 |