Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200de |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
2840893932800000000 = 214 · 58 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1005333,-379078963] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:525:1] |
Generators of the group modulo torsion |
j |
17557957181440/443889677 |
j-invariant |
L |
9.4007879337512 |
L(r)(E,1)/r! |
Ω |
0.15100509880956 |
Real period |
R |
2.3057322810408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200hf2 7700l2 123200i2 |
Quadratic twists by: -4 8 5 |