Atkin-Lehner |
2- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98252c |
Isogeny class |
Conductor |
98252 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-11139802327808 = -1 · 28 · 7 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 11- 4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,178847] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:494:1] |
Generators of the group modulo torsion |
j |
-90112/203 |
j-invariant |
L |
7.156893283739 |
L(r)(E,1)/r! |
Ω |
0.63730516135456 |
Real period |
R |
3.7433104893336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98252n1 |
Quadratic twists by: -11 |