Atkin-Lehner |
2+ 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258j |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-510938714 = -1 · 2 · 112 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,191,-362] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-79:1] |
Generators of the group modulo torsion |
j |
353393243/232562 |
j-invariant |
L |
5.0121675205856 |
L(r)(E,1)/r! |
Ω |
0.94145936918683 |
Real period |
R |
0.66547846990321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115258o1 |
Quadratic twists by: 13 |