Atkin-Lehner |
2- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
51100q |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-572320000 = -1 · 28 · 54 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -3 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,1150] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:14:1] [15:-70:1] |
Generators of the group modulo torsion |
j |
10800/3577 |
j-invariant |
L |
9.0411872207555 |
L(r)(E,1)/r! |
Ω |
1.2691080281854 |
Real period |
R |
0.39578047555894 |
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 |
51100h1 |
Quadratic twists by: 5 |