Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322c |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1135680 |
Modular degree for the optimal curve |
Δ |
-3.0630276870992E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 0 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24671,266283061] |
[a1,a2,a3,a4,a6] |
Generators |
[-606:5711:1] |
Generators of the group modulo torsion |
j |
2035680647/37549495296 |
j-invariant |
L |
1.8282591093774 |
L(r)(E,1)/r! |
Ω |
0.16483216168788 |
Real period |
R |
1.8486067794214 |
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 |
69966bi1 23322n1 |
Quadratic twists by: -3 13 |