Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104bm |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-1319091830784 = -1 · 229 · 33 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1317,52106] |
[a1,a2,a3,a4,a6] |
j |
2284322013/11927552 |
j-invariant |
L |
2.4721149487539 |
L(r)(E,1)/r! |
Ω |
0.61802873718848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1638k1 52416ef1 13104bl1 91728cj1 |
Quadratic twists by: -4 8 -3 -7 |