Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800bi |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
944640 |
Modular degree for the optimal curve |
Δ |
-24202800000000 = -1 · 210 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10469208,-13041726912] |
[a1,a2,a3,a4,a6] |
Generators |
[83270400:4489389864:15625] |
Generators of the group modulo torsion |
j |
-317252641917851620/60507 |
j-invariant |
L |
6.4533014823572 |
L(r)(E,1)/r! |
Ω |
0.041965374049847 |
Real period |
R |
12.814734425781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600k1 49800c1 |
Quadratic twists by: -4 5 |