Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29008l |
Isogeny class |
Conductor |
29008 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
17829941248 = 212 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 1 0 7- -3 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2613,50147] |
[a1,a2,a3,a4,a6] |
j |
4096000/37 |
j-invariant |
L |
1.2342674706632 |
L(r)(E,1)/r! |
Ω |
1.2342674706636 |
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 |
1813c1 116032bb1 592e1 |
Quadratic twists by: -4 8 -7 |