Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200bu |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-30080000 = -1 · 210 · 54 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 4 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,263] |
[a1,a2,a3,a4,a6] |
Generators |
[34:199:1] |
Generators of the group modulo torsion |
j |
-6400/47 |
j-invariant |
L |
6.5305535683848 |
L(r)(E,1)/r! |
Ω |
1.7962113136573 |
Real period |
R |
3.6357379106133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200di1 9400f1 75200h1 |
Quadratic twists by: -4 8 5 |