Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1365b |
Isogeny class |
Conductor |
1365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1670570708285115 = -1 · 324 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20475,-1602498] |
[a1,a2,a3,a4,a6] |
j |
949279533867428399/1670570708285115 |
j-invariant |
L |
0.99320564608121 |
L(r)(E,1)/r! |
Ω |
0.2483014115203 |
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 |
21840ch5 87360cl5 4095i6 6825h6 |
Quadratic twists by: -4 8 -3 5 |