Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968h |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-1.0388400919997E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15425139,23369530606] |
[a1,a2,a3,a4,a6] |
Generators |
[18466:63423:8] |
Generators of the group modulo torsion |
j |
-271865119154793108194/695810889810333 |
j-invariant |
L |
3.8062386821289 |
L(r)(E,1)/r! |
Ω |
0.15611049610063 |
Real period |
R |
2.0318080127015 |
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 |
45936t1 7656h1 |
Quadratic twists by: -4 -3 |