Atkin-Lehner |
3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43953k |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3294720 |
Modular degree for the optimal curve |
Δ |
1.3059055778767E+21 |
Discriminant |
Eigenvalues |
2 3+ 0 7- -5 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2737548,129079271] |
[a1,a2,a3,a4,a6] |
Generators |
[508601419127496:-41431682207328647:72407429632] |
Generators of the group modulo torsion |
j |
19285053992837632000/11100014261716653 |
j-invariant |
L |
9.1864729197845 |
L(r)(E,1)/r! |
Ω |
0.13022457760004 |
Real period |
R |
17.635827831208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279k1 |
Quadratic twists by: -7 |