Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400fa |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-51519283200000000 = -1 · 219 · 33 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33208,-11155088] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:43150:1] |
Generators of the group modulo torsion |
j |
-2531307865/32199552 |
j-invariant |
L |
4.0081637975912 |
L(r)(E,1)/r! |
Ω |
0.15176506039095 |
Real period |
R |
4.4017199830141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bi1 92400gx1 |
Quadratic twists by: -4 5 |