Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12915t |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-96522251522445 = -1 · 314 · 5 · 74 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30272,2089176] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1284:1] |
Generators of the group modulo torsion |
j |
-4208294050801849/132403637205 |
j-invariant |
L |
3.0685511137295 |
L(r)(E,1)/r! |
Ω |
0.59739022960306 |
Real period |
R |
0.64207425935146 |
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 |
4305b2 64575q2 90405r2 |
Quadratic twists by: -3 5 -7 |