Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24684c |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
178200 |
Modular degree for the optimal curve |
Δ |
-1365773870064384 = -1 · 28 · 311 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11- -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196181,33557889] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
0.48102793249864 |
L(r)(E,1)/r! |
Ω |
0.48102793249864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736df1 74052h1 204a1 |
Quadratic twists by: -4 -3 -11 |