Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976cr |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2216448 |
Modular degree for the optimal curve |
Δ |
-462506841389891584 = -1 · 215 · 113 · 139 |
Discriminant |
Eigenvalues |
2- 0 -1 3 11+ 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9060428,10497195696] |
[a1,a2,a3,a4,a6] |
Generators |
[13013:1447823:1] |
Generators of the group modulo torsion |
j |
-236717162856/1331 |
j-invariant |
L |
5.8597141050308 |
L(r)(E,1)/r! |
Ω |
0.26309028743623 |
Real period |
R |
5.5681588872837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976ds1 59488m1 118976dr1 |
Quadratic twists by: -4 8 13 |