Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bx |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-3.4323033947344E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7606875,8080196875] |
[a1,a2,a3,a4,a6] |
Generators |
[1469:8703:1] |
Generators of the group modulo torsion |
j |
-427361108435200/301327047 |
j-invariant |
L |
4.2308708784317 |
L(r)(E,1)/r! |
Ω |
0.20494186321455 |
Real period |
R |
5.1610622789187 |
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 |
25200bu1 100800ef1 4200m1 12600bh1 |
Quadratic twists by: -4 8 -3 5 |