Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450k |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-10504687500 = -1 · 22 · 34 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,-5452] |
[a1,a2,a3,a4,a6] |
Generators |
[27:61:1] |
Generators of the group modulo torsion |
j |
-9765625/26892 |
j-invariant |
L |
4.6855239884414 |
L(r)(E,1)/r! |
Ω |
0.52137573167398 |
Real period |
R |
0.37445196299842 |
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 |
99600cn1 37350bz1 12450q1 |
Quadratic twists by: -4 -3 5 |