Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495p |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
30363350987025 = 36 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10463,314381] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:589:1] |
Generators of the group modulo torsion |
j |
1076575468249/258084225 |
j-invariant |
L |
6.7988840795631 |
L(r)(E,1)/r! |
Ω |
0.62080759342027 |
Real period |
R |
1.8252794563142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37485x2 62475i2 1785b2 |
Quadratic twists by: -3 5 -7 |