Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bs |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-88615321920000000 = -1 · 212 · 34 · 57 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7633,14327137] |
[a1,a2,a3,a4,a6] |
Generators |
[352:7425:1] |
Generators of the group modulo torsion |
j |
-768575296/1384614405 |
j-invariant |
L |
6.9774192490471 |
L(r)(E,1)/r! |
Ω |
0.27351377472251 |
Real period |
R |
3.1887878694036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906095 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103200q2 20640j4 |
Quadratic twists by: -4 5 |