Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312ck |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4727808 |
Modular degree for the optimal curve |
Δ |
-1.4021032781745E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 2 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2021119,1421466273] |
[a1,a2,a3,a4,a6] |
j |
205083359/314928 |
j-invariant |
L |
5.1634546401947 |
L(r)(E,1)/r! |
Ω |
0.10326909270266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69312bj1 17328bd1 69312du1 |
Quadratic twists by: -4 8 -19 |