Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950ci |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-3584438325000000 = -1 · 26 · 38 · 58 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,38237,126017] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-3151:1] |
Generators of the group modulo torsion |
j |
15827575749935/9176162112 |
j-invariant |
L |
10.947359470773 |
L(r)(E,1)/r! |
Ω |
0.26663575097533 |
Real period |
R |
0.14256027062246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79950j1 |
Quadratic twists by: 5 |