Atkin-Lehner |
2- 3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bc |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2770416 = -1 · 24 · 33 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122,553] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-1:1] |
Generators of the group modulo torsion |
j |
-60997563/848 |
j-invariant |
L |
10.479597373477 |
L(r)(E,1)/r! |
Ω |
2.5587237112422 |
Real period |
R |
0.51195432599432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434i1 115434c1 |
Quadratic twists by: -3 -11 |