Atkin-Lehner |
2- 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760bq |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
577920 |
Modular degree for the optimal curve |
Δ |
-1216085825085040 = -1 · 24 · 5 · 77 · 13 · 175 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -1 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4590,1680535] |
[a1,a2,a3,a4,a6] |
Generators |
[323:5831:1] |
Generators of the group modulo torsion |
j |
-668553859330816/76005364067815 |
j-invariant |
L |
5.4932735602135 |
L(r)(E,1)/r! |
Ω |
0.39872541249724 |
Real period |
R |
0.3936309806877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998727346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30940h1 |
Quadratic twists by: -4 |