Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hf |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-405749226516480 = -1 · 212 · 37 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99045,12003795] |
[a1,a2,a3,a4,a6] |
Generators |
[198:441:1] |
Generators of the group modulo torsion |
j |
-222985990144/841995 |
j-invariant |
L |
9.161158390169 |
L(r)(E,1)/r! |
Ω |
0.53482687519135 |
Real period |
R |
1.2235145321843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085m1 18480bs1 |
Quadratic twists by: -4 -7 |