Atkin-Lehner |
2+ 3+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546b |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-2.0685185485952E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2904405,7177915637] |
[a1,a2,a3,a4,a6] |
Generators |
[9881:966208:1] |
Generators of the group modulo torsion |
j |
-137658816343439001603/1050916297614819328 |
j-invariant |
L |
3.4684089538588 |
L(r)(E,1)/r! |
Ω |
0.10411384949737 |
Real period |
R |
8.3284043603852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546bd1 |
Quadratic twists by: -3 |