Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7623h |
Isogeny class |
Conductor |
7623 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-1.3402467969722E+19 |
Discriminant |
Eigenvalues |
-1 3- -1 7+ 11- -5 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3506603,2534429868] |
[a1,a2,a3,a4,a6] |
Generators |
[696:20403:1] |
Generators of the group modulo torsion |
j |
-30515071121161/85766121 |
j-invariant |
L |
2.0835419066241 |
L(r)(E,1)/r! |
Ω |
0.22443899175522 |
Real period |
R |
0.77361108629484 |
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 |
121968fs1 2541a1 53361bn1 7623n1 |
Quadratic twists by: -4 -3 -7 -11 |