Atkin-Lehner |
3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075d |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1009280 |
Modular degree for the optimal curve |
Δ |
-13093601839171875 = -1 · 319 · 56 · 7 · 103 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -5 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3044783,-2043942532] |
[a1,a2,a3,a4,a6] |
Generators |
[2301887578026986:374100605981413471:86761802483] |
Generators of the group modulo torsion |
j |
-199789595306121723904/837990517707 |
j-invariant |
L |
2.9035341133262 |
L(r)(E,1)/r! |
Ω |
0.057145278195667 |
Real period |
R |
25.404847128265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2163d1 |
Quadratic twists by: 5 |