Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1872s |
Isogeny class |
Conductor |
1872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-77635584 = -1 · 213 · 36 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 1 6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,362] |
[a1,a2,a3,a4,a6] |
j |
12167/26 |
j-invariant |
L |
2.6790148656255 |
L(r)(E,1)/r! |
Ω |
1.3395074328127 |
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 |
234e1 7488bv1 208a1 46800db1 |
Quadratic twists by: -4 8 -3 5 |