Atkin-Lehner |
3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118575r |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2165760 |
Modular degree for the optimal curve |
Δ |
-7783413266021484375 = -1 · 315 · 59 · 172 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,263695,123630072] |
[a1,a2,a3,a4,a6] |
Generators |
[13340:1535223:1] |
Generators of the group modulo torsion |
j |
1424207846251/5466539907 |
j-invariant |
L |
4.4715220289654 |
L(r)(E,1)/r! |
Ω |
0.16664084952017 |
Real period |
R |
6.7083220375372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000215151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39525a1 118575u1 |
Quadratic twists by: -3 5 |