Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600bv |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
5780000000 = 28 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -5 -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4533,118937] |
[a1,a2,a3,a4,a6] |
Generators |
[32:75:1] [41:18:1] |
Generators of the group modulo torsion |
j |
8912896/5 |
j-invariant |
L |
16.195078402152 |
L(r)(E,1)/r! |
Ω |
1.3328641241596 |
Real period |
R |
3.0376461686983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28900e1 23120t1 115600cl1 |
Quadratic twists by: -4 5 17 |