Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745b |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-160596985696875 = -1 · 32 · 55 · 7 · 138 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -5 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-38081,2937287] |
[a1,a2,a3,a4,a6] |
Generators |
[113:253:1] |
Generators of the group modulo torsion |
j |
-7487094784/196875 |
j-invariant |
L |
2.0702847789598 |
L(r)(E,1)/r! |
Ω |
0.57378891366018 |
Real period |
R |
0.60134912847815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53235bb1 88725br1 124215ct1 17745h1 |
Quadratic twists by: -3 5 -7 13 |