Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450t |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-168075000000 = -1 · 26 · 34 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-388,19781] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-243:1] |
Generators of the group modulo torsion |
j |
-16539745/430272 |
j-invariant |
L |
5.8733826981473 |
L(r)(E,1)/r! |
Ω |
0.85304274781561 |
Real period |
R |
0.19125597141615 |
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 |
99600dm1 37350y1 12450i1 |
Quadratic twists by: -4 -3 5 |