Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720be |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-872640000000 = -1 · 212 · 33 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1707,52506] |
[a1,a2,a3,a4,a6] |
Generators |
[37:200:1] [-33:270:1] |
Generators of the group modulo torsion |
j |
-4973940243/7890625 |
j-invariant |
L |
10.354618053515 |
L(r)(E,1)/r! |
Ω |
0.79669360633245 |
Real period |
R |
0.23208908963602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4545b1 72720x1 |
Quadratic twists by: -4 -3 |