Atkin-Lehner |
2- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
12640f |
Isogeny class |
Conductor |
12640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
79884800 = 29 · 52 · 792 |
Discriminant |
Eigenvalues |
2- -2 5- -4 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,1288] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:42:1] [6:10:1] |
Generators of the group modulo torsion |
j |
2998442888/156025 |
j-invariant |
L |
4.6212947299119 |
L(r)(E,1)/r! |
Ω |
1.9018943187288 |
Real period |
R |
1.2149189059573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12640e2 25280u2 113760o2 63200i2 |
Quadratic twists by: -4 8 -3 5 |