Atkin-Lehner |
2- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150r |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-69798921663500 = -1 · 22 · 53 · 237 · 41 |
Discriminant |
Eigenvalues |
2- -3 5- 0 0 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5385,-373413] |
[a1,a2,a3,a4,a6] |
Generators |
[479:10340:1] |
Generators of the group modulo torsion |
j |
138180394485099/558391373308 |
j-invariant |
L |
5.5421986021678 |
L(r)(E,1)/r! |
Ω |
0.31237323391486 |
Real period |
R |
0.63365116749107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47150f1 |
Quadratic twists by: 5 |