Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740k |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-438855268979440 = -1 · 24 · 5 · 17 · 199 |
Discriminant |
Eigenvalues |
2- 0 5- 1 0 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-980837,373890949] |
[a1,a2,a3,a4,a6] |
Generators |
[36100:20577:64] |
Generators of the group modulo torsion |
j |
-20212118784/85 |
j-invariant |
L |
7.7949484433149 |
L(r)(E,1)/r! |
Ω |
0.46567486468548 |
Real period |
R |
2.7898393904983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999478222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122740l1 |
Quadratic twists by: -19 |