Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312cc |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-13356417449459712 = -1 · 218 · 3 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -2 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45727,-4108287] |
[a1,a2,a3,a4,a6] |
j |
2375/3 |
j-invariant |
L |
0.42569682866939 |
L(r)(E,1)/r! |
Ω |
0.21284841811079 |
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 |
69312bc1 17328ba1 69312dh1 |
Quadratic twists by: -4 8 -19 |