Atkin-Lehner |
2- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550o |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
78717500000000 = 28 · 510 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 3 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15430,-597803] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:171:1] |
Generators of the group modulo torsion |
j |
41600165625/8060672 |
j-invariant |
L |
10.248216862911 |
L(r)(E,1)/r! |
Ω |
0.43413608530733 |
Real period |
R |
1.4753750623571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550j1 |
Quadratic twists by: 5 |