Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cj |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-1.753332290605E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2759800,1777056880] |
[a1,a2,a3,a4,a6] |
j |
-567540361467601918201/4280596412609880 |
j-invariant |
L |
3.0784726868454 |
L(r)(E,1)/r! |
Ω |
0.21989090527908 |
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 |
10230t1 |
Quadratic twists by: -4 |