Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cb |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
431127084960 = 25 · 32 · 5 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103155,12709137] |
[a1,a2,a3,a4,a6] |
Generators |
[175:146:1] |
Generators of the group modulo torsion |
j |
68523370149961/243360 |
j-invariant |
L |
9.3720416722398 |
L(r)(E,1)/r! |
Ω |
0.82489453653477 |
Real period |
R |
1.1361502903882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390f2 |
Quadratic twists by: -11 |