Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17745y |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
121109625 = 32 · 53 · 72 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-335,-2328] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:13:1] |
Generators of the group modulo torsion |
j |
1892819053/55125 |
j-invariant |
L |
4.1429547308687 |
L(r)(E,1)/r! |
Ω |
1.1179049402377 |
Real period |
R |
0.61766652091007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235x1 88725k1 124215u1 17745o1 |
Quadratic twists by: -3 5 -7 13 |