Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30303m |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
1244453301 = 37 · 7 · 133 · 37 |
Discriminant |
Eigenvalues |
-2 3- -1 7- -3 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-633,5890] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-59:1] |
Generators of the group modulo torsion |
j |
38477541376/1707069 |
j-invariant |
L |
2.2582546612543 |
L(r)(E,1)/r! |
Ω |
1.5173431343362 |
Real period |
R |
0.24804921731851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10101b1 |
Quadratic twists by: -3 |