Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10285f |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
1377925681928125 = 55 · 1110 · 17 |
Discriminant |
Eigenvalues |
2 1 5+ 0 11- -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-92726,10689421] |
[a1,a2,a3,a4,a6] |
j |
3399430144/53125 |
j-invariant |
L |
4.3363140697652 |
L(r)(E,1)/r! |
Ω |
0.48181267441836 |
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 |
92565bz1 51425z1 10285h1 |
Quadratic twists by: -3 5 -11 |