Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600p |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4083,-103338] |
[a1,a2,a3,a4,a6] |
Generators |
[78:216:1] |
Generators of the group modulo torsion |
j |
-1204725760/60507 |
j-invariant |
L |
5.5312432161862 |
L(r)(E,1)/r! |
Ω |
0.2977466179586 |
Real period |
R |
3.0961690819947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999628197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800o1 99600t1 |
Quadratic twists by: -4 5 |