Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10780m |
Isogeny class |
Conductor |
10780 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
720720 |
Modular degree for the optimal curve |
Δ |
-3.5541344786484E+22 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17408050,-29396334927] |
[a1,a2,a3,a4,a6] |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
1.215252229226 |
L(r)(E,1)/r! |
Ω |
0.036825825128061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120cr1 97020bs1 53900m1 10780a1 |
Quadratic twists by: -4 -3 5 -7 |