Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bz |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
945 |
Product of Tamagawa factors cp |
deg |
453600 |
Modular degree for the optimal curve |
Δ |
-1.965125297982E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1428763,941202281] |
[a1,a2,a3,a4,a6] |
Generators |
[-1265:27582:1] |
Generators of the group modulo torsion |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
6.1489336471561 |
L(r)(E,1)/r! |
Ω |
0.16556139301274 |
Real period |
R |
0.039301481908454 |
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 |
92400hr1 34650bv1 11550v1 80850hf1 |
Quadratic twists by: -4 -3 5 -7 |