Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495q |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
759083774675625 = 36 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-187475,31200000] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:7810:1] |
Generators of the group modulo torsion |
j |
6193921595708449/6452105625 |
j-invariant |
L |
3.9676956020635 |
L(r)(E,1)/r! |
Ω |
0.50299981355027 |
Real period |
R |
0.65733881258966 |
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 |
37485r2 62475f2 1785c2 |
Quadratic twists by: -3 5 -7 |