Atkin-Lehner |
5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13175f |
Isogeny class |
Conductor |
13175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-65875 = -1 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5- 1 -1 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-128,547] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-1:1] [1:20:1] |
Generators of the group modulo torsion |
j |
-1856331989/527 |
j-invariant |
L |
3.2315950133794 |
L(r)(E,1)/r! |
Ω |
3.4052261615603 |
Real period |
R |
0.47450519584531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118575t1 13175h1 |
Quadratic twists by: -3 5 |