Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745k |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-770865531345 = -1 · 33 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -5 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,42362] |
[a1,a2,a3,a4,a6] |
Generators |
[70:556:1] |
Generators of the group modulo torsion |
j |
-28561/945 |
j-invariant |
L |
2.5127333042821 |
L(r)(E,1)/r! |
Ω |
0.74843318581278 |
Real period |
R |
1.1191082704122 |
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 |
53235v1 88725bo1 124215cf1 17745e1 |
Quadratic twists by: -3 5 -7 13 |