Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384x |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-13560625994268672 = -1 · 217 · 38 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-141420,-21222736] |
[a1,a2,a3,a4,a6] |
Generators |
[550:8208:1] |
Generators of the group modulo torsion |
j |
-3273548323250/141919569 |
j-invariant |
L |
5.6254894186595 |
L(r)(E,1)/r! |
Ω |
0.12278404694398 |
Real period |
R |
1.431753945902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384de2 15048f2 40128l2 |
Quadratic twists by: -4 8 -3 |