Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464f |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-5.0312838139026E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2099991,-1220019370] |
[a1,a2,a3,a4,a6] |
Generators |
[528626669830:-53225728244480:51064811] |
Generators of the group modulo torsion |
j |
-5487929440302399568/269594683100919 |
j-invariant |
L |
4.9913872699279 |
L(r)(E,1)/r! |
Ω |
0.062527801530082 |
Real period |
R |
19.956671871785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56232c1 37488d1 |
Quadratic twists by: -4 -3 |