Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050c |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
2455383546000000000 = 210 · 32 · 59 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-509775,117865125] |
[a1,a2,a3,a4,a6] |
Generators |
[-786:6201:1] [2010:240995:27] |
Generators of the group modulo torsion |
j |
529278808969/88704000 |
j-invariant |
L |
7.9374611365427 |
L(r)(E,1)/r! |
Ω |
0.24599847295055 |
Real period |
R |
2.016643903609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cq1 11550bp1 |
Quadratic twists by: 5 -11 |