Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200cb |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-2716566814720000 = -1 · 234 · 54 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78875,-8887350] |
[a1,a2,a3,a4,a6] |
Generators |
[455:7030:1] |
Generators of the group modulo torsion |
j |
-21198340490625/1061158912 |
j-invariant |
L |
3.9721932963026 |
L(r)(E,1)/r! |
Ω |
0.14202662758304 |
Real period |
R |
4.6613246180531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650ba1 101200bc1 |
Quadratic twists by: -4 5 |