Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15015h |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
979263285 = 3 · 5 · 73 · 114 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-356722,-82154309] |
[a1,a2,a3,a4,a6] |
j |
5020133855441875347241/979263285 |
j-invariant |
L |
2.3442189300562 |
L(r)(E,1)/r! |
Ω |
0.19535157750468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45045bb4 75075bk4 105105cc4 |
Quadratic twists by: -3 5 -7 |