Atkin-Lehner |
2+ 7- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
119462f |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
67200000 |
Modular degree for the optimal curve |
Δ |
-6.3761203237159E+27 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45574744,-3840000180416] |
[a1,a2,a3,a4,a6] |
Generators |
[3842317680:721367642024:103823] |
Generators of the group modulo torsion |
j |
88983232879403987428023/54196128515464471180288 |
j-invariant |
L |
4.3626424472466 |
L(r)(E,1)/r! |
Ω |
0.019776103298216 |
Real period |
R |
11.030086113173 |
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 |
17066c1 |
Quadratic twists by: -7 |