Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968bq |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1.1097923542812E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ -3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,366333,499612993] |
[a1,a2,a3,a4,a6] |
Generators |
[2168:107163:1] |
Generators of the group modulo torsion |
j |
350208169805056/7148520419229 |
j-invariant |
L |
7.9263848170441 |
L(r)(E,1)/r! |
Ω |
0.14018643074858 |
Real period |
R |
0.78530195216596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984m1 40656x1 121968y1 |
Quadratic twists by: -4 -3 -11 |