Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056q |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1495152992452608 = -1 · 224 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156531,-23909326] |
[a1,a2,a3,a4,a6] |
Generators |
[1807:74790:1] |
Generators of the group modulo torsion |
j |
-142048716869233/500723712 |
j-invariant |
L |
5.0657350076938 |
L(r)(E,1)/r! |
Ω |
0.11998523866313 |
Real period |
R |
5.2774564807694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382c1 38352m1 |
Quadratic twists by: -4 -3 |