Atkin-Lehner |
5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13175a |
Isogeny class |
Conductor |
13175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
16082763671875 = 515 · 17 · 31 |
Discriminant |
Eigenvalues |
1 -1 5+ -2 -6 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22525,-1296250] |
[a1,a2,a3,a4,a6] |
Generators |
[2270:30115:8] |
Generators of the group modulo torsion |
j |
80896216567249/1029296875 |
j-invariant |
L |
3.2304533804867 |
L(r)(E,1)/r! |
Ω |
0.39000043968459 |
Real period |
R |
2.0708011144162 |
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 |
118575m1 2635a1 |
Quadratic twists by: -3 5 |