Atkin-Lehner |
2+ 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050g |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-157718750000 = -1 · 24 · 59 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -2 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25651,1579198] |
[a1,a2,a3,a4,a6] |
Generators |
[-1394:7693:8] [107:-304:1] |
Generators of the group modulo torsion |
j |
-119451676585249/10094000 |
j-invariant |
L |
7.2393377746025 |
L(r)(E,1)/r! |
Ω |
0.97785031127487 |
Real period |
R |
0.46270743660425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210f1 |
Quadratic twists by: 5 |