Atkin-Lehner |
2- 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892bi |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-2078325964283184 = -1 · 24 · 34 · 78 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11303,-2140300] |
[a1,a2,a3,a4,a6] |
j |
84831715328/1104092451 |
j-invariant |
L |
3.6459875516542 |
L(r)(E,1)/r! |
Ω |
0.22787429671938 |
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 |
17556c1 |
Quadratic twists by: -7 |