Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bi |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
726 |
Product of Tamagawa factors cp |
deg |
8781696 |
Modular degree for the optimal curve |
Δ |
3.517426580472E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-104904448,412566099278] |
[a1,a2,a3,a4,a6] |
Generators |
[-4391:890195:1] |
Generators of the group modulo torsion |
j |
2605609534839039045974276809/7178421592800000000000 |
j-invariant |
L |
5.7296957588104 |
L(r)(E,1)/r! |
Ω |
0.096117972139525 |
Real period |
R |
0.082108920347936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390c1 |
Quadratic twists by: -7 |