Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680u |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
89159616000000 = 212 · 37 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150465,22410063] |
[a1,a2,a3,a4,a6] |
Generators |
[231:-180:1] |
Generators of the group modulo torsion |
j |
91975703622147136/21767484375 |
j-invariant |
L |
7.5137866826315 |
L(r)(E,1)/r! |
Ω |
0.5885996397294 |
Real period |
R |
0.1519706017848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bn2 87360g1 |
Quadratic twists by: -4 8 |