Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41624f |
Isogeny class |
Conductor |
41624 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-51255977411584 = -1 · 210 · 114 · 434 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11- -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-436931,-111165362] |
[a1,a2,a3,a4,a6] |
Generators |
[1782:69058:1] |
Generators of the group modulo torsion |
j |
-615306624895908/3418801 |
j-invariant |
L |
7.2644264520825 |
L(r)(E,1)/r! |
Ω |
0.092846641655166 |
Real period |
R |
3.2600472144972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248j1 41624m1 |
Quadratic twists by: -4 -11 |