Atkin-Lehner |
2- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124100a |
Isogeny class |
Conductor |
124100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
620500000000 = 28 · 59 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 0 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,-2137] |
[a1,a2,a3,a4,a6] |
j |
268435456/155125 |
j-invariant |
L |
3.0714963799945 |
L(r)(E,1)/r! |
Ω |
0.76787422118198 |
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 |
24820b1 |
Quadratic twists by: 5 |