Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550r |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
85680 |
Modular degree for the optimal curve |
Δ |
1.6840037265028E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1541578,390414551] |
[a1,a2,a3,a4,a6] |
j |
16206164115169540524745/6736014906011025408 |
j-invariant |
L |
2.787197341565 |
L(r)(E,1)/r! |
Ω |
0.16395278479794 |
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 |
20400db1 81600cr1 7650s1 2550o1 |
Quadratic twists by: -4 8 -3 5 |