Atkin-Lehner |
2+ 3- 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
49128d |
Isogeny class |
Conductor |
49128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
197760 |
Modular degree for the optimal curve |
Δ |
855237366134784 = 211 · 36 · 235 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 2 -5 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25480,-694864] |
[a1,a2,a3,a4,a6] |
j |
893324150868242/417596370183 |
j-invariant |
L |
2.3721880232418 |
L(r)(E,1)/r! |
Ω |
0.39536467063385 |
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 |
98256b1 |
Quadratic twists by: -4 |