Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760j |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7065600 |
Modular degree for the optimal curve |
Δ |
4.8155694434004E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77354571,261817709004] |
[a1,a2,a3,a4,a6] |
j |
3199349466281064276336216064/300973090212523828125 |
j-invariant |
L |
2.6217157283802 |
L(r)(E,1)/r! |
Ω |
0.13108578663905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880j1 |
Quadratic twists by: -4 |