Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800y |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-81153800000000 = -1 · 29 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 3 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-565208,163366088] |
[a1,a2,a3,a4,a6] |
Generators |
[434:26:1] |
Generators of the group modulo torsion |
j |
-99843405485000/405769 |
j-invariant |
L |
7.5428028907826 |
L(r)(E,1)/r! |
Ω |
0.53542545736006 |
Real period |
R |
1.7609367438115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72800cf1 72800bq1 |
Quadratic twists by: -4 5 |