Atkin-Lehner |
2+ 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
126582j |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
9166145277474 = 2 · 32 · 178 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 0 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-357932,-82572282] |
[a1,a2,a3,a4,a6] |
Generators |
[989:22571:1] |
Generators of the group modulo torsion |
j |
727002356041/1314 |
j-invariant |
L |
2.5949055236353 |
L(r)(E,1)/r! |
Ω |
0.19518629121645 |
Real period |
R |
6.6472535018609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582n1 |
Quadratic twists by: 17 |