Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dn |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
383201280 |
Modular degree for the optimal curve |
Δ |
-1.9777480427826E+32 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 6 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2662536764,674548775669264] |
[a1,a2,a3,a4,a6] |
Generators |
[254982508:120512078608:1331] |
Generators of the group modulo torsion |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
12.684535271782 |
L(r)(E,1)/r! |
Ω |
0.013694937519998 |
Real period |
R |
2.1440295087429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966cu1 4998ba1 |
Quadratic twists by: -7 17 |