Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368m |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-67175472 = -1 · 24 · 3 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7,392] |
[a1,a2,a3,a4,a6] |
j |
-2725888/4198467 |
j-invariant |
L |
3.1502032546519 |
L(r)(E,1)/r! |
Ω |
1.575101627326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2184h1 17472cf1 13104ba1 109200b1 |
Quadratic twists by: -4 8 -3 5 |