Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15725a |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
218039563720703125 = 512 · 176 · 37 |
Discriminant |
Eigenvalues |
0 -1 5+ 1 -3 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-655883,-202993707] |
[a1,a2,a3,a4,a6] |
Generators |
[17297:2272262:1] |
Generators of the group modulo torsion |
j |
1997024861879566336/13954532078125 |
j-invariant |
L |
2.6354101642461 |
L(r)(E,1)/r! |
Ω |
0.16783239760162 |
Real period |
R |
3.925657682764 |
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 |
3145b1 |
Quadratic twists by: 5 |