Atkin-Lehner |
2- 3- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652i |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39951360 |
Modular degree for the optimal curve |
Δ |
4.5534402841322E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2465322996,47114961804101] |
[a1,a2,a3,a4,a6] |
Generators |
[111224834791414235902764839835302835546066975509680:-27403919259262631269152959588046544720012963995193743:1332409396962299707522305619262633792839168000] |
Generators of the group modulo torsion |
j |
142068462797158812002488926208/3903841121512535973 |
j-invariant |
L |
6.5726810692072 |
L(r)(E,1)/r! |
Ω |
0.08292246227252 |
Real period |
R |
79.262975182846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37884a1 |
Quadratic twists by: -3 |