Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35550i |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-26995781250 = -1 · 2 · 37 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,11866] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-127:1] [-21:148:1] |
Generators of the group modulo torsion |
j |
-4826809/2370 |
j-invariant |
L |
6.3324818794442 |
L(r)(E,1)/r! |
Ω |
1.1063346320919 |
Real period |
R |
0.35773996943124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850s1 7110s1 |
Quadratic twists by: -3 5 |