Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
122536b |
Isogeny class |
Conductor |
122536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-1860004356407858176 = -1 · 210 · 1711 · 53 |
Discriminant |
Eigenvalues |
2- -2 -3 1 0 -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,73888,-65135216] |
[a1,a2,a3,a4,a6] |
Generators |
[368:3468:1] |
Generators of the group modulo torsion |
j |
1804870652/75252421 |
j-invariant |
L |
1.3377742414763 |
L(r)(E,1)/r! |
Ω |
0.12658628823348 |
Real period |
R |
2.6420202277693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000786321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7208b1 |
Quadratic twists by: 17 |