Atkin-Lehner |
2- 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bq |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
-1505851651854 = -1 · 2 · 36 · 117 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11- -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2201,-70617] |
[a1,a2,a3,a4,a6] |
j |
-912673/1166 |
j-invariant |
L |
5.9864963327832 |
L(r)(E,1)/r! |
Ω |
0.3325831911458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826d1 10494b1 |
Quadratic twists by: -3 -11 |