Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12915d |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3723852296390625 = 310 · 56 · 74 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-753390,251868231] |
[a1,a2,a3,a4,a6] |
j |
64871816981818825441/5108165015625 |
j-invariant |
L |
0.84372527969104 |
L(r)(E,1)/r! |
Ω |
0.42186263984552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4305i2 64575bd2 90405bs2 |
Quadratic twists by: -3 5 -7 |