Atkin-Lehner |
2- 3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41820a |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
602208000 = 28 · 33 · 53 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-276,-1224] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:157:8] |
Generators of the group modulo torsion |
j |
9115564624/2352375 |
j-invariant |
L |
4.9191054898399 |
L(r)(E,1)/r! |
Ω |
1.1933037253141 |
Real period |
R |
4.1222577165297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125460u1 |
Quadratic twists by: -3 |