Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255bf |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-72214645051395 = -1 · 313 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55713,5078029] |
[a1,a2,a3,a4,a6] |
Generators |
[434:11903:8] |
Generators of the group modulo torsion |
j |
-222985990144/841995 |
j-invariant |
L |
9.9505877630342 |
L(r)(E,1)/r! |
Ω |
0.61756488072315 |
Real period |
R |
1.0070387008753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085m1 121275dm1 3465o1 |
Quadratic twists by: -3 5 -7 |