Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1365a |
Isogeny class |
Conductor |
1365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12224619225 = 310 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1078,12103] |
[a1,a2,a3,a4,a6] |
j |
138742439989609/12224619225 |
j-invariant |
L |
1.2356741351268 |
L(r)(E,1)/r! |
Ω |
1.2356741351268 |
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 |
21840by2 87360ct2 4095l2 6825j2 |
Quadratic twists by: -4 8 -3 5 |