Atkin-Lehner |
3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47937a |
Isogeny class |
Conductor |
47937 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46800 |
Modular degree for the optimal curve |
Δ |
-8491895739 = -1 · 312 · 19 · 292 |
Discriminant |
Eigenvalues |
-2 3+ -1 -4 -3 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,474,1820] |
[a1,a2,a3,a4,a6] |
Generators |
[48:364:1] |
Generators of the group modulo torsion |
j |
13974818816/10097379 |
j-invariant |
L |
1.3583153330772 |
L(r)(E,1)/r! |
Ω |
0.83087118200269 |
Real period |
R |
0.81740428752855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47937g1 |
Quadratic twists by: 29 |