Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280bn |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-951520632476256000 = -1 · 28 · 37 · 53 · 172 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,242817,9034882] |
[a1,a2,a3,a4,a6] |
j |
8483859855616304/5098597353375 |
j-invariant |
L |
2.7339757996433 |
L(r)(E,1)/r! |
Ω |
0.1708734989051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760l1 |
Quadratic twists by: -3 |