Atkin-Lehner |
5+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13685c |
Isogeny class |
Conductor |
13685 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1528835225365 = 5 · 76 · 173 · 232 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131178,-18253924] |
[a1,a2,a3,a4,a6] |
Generators |
[-5631:2972:27] |
Generators of the group modulo torsion |
j |
249633935692376843889/1528835225365 |
j-invariant |
L |
2.5649477532125 |
L(r)(E,1)/r! |
Ω |
0.25086190830609 |
Real period |
R |
3.4081801823853 |
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 |
123165h2 68425c2 95795p2 |
Quadratic twists by: -3 5 -7 |