Atkin-Lehner |
2+ 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784a |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36352 |
Modular degree for the optimal curve |
Δ |
-1920034816 = -1 · 211 · 72 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -1 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,280,-1004] |
[a1,a2,a3,a4,a6] |
Generators |
[4:14:1] [20:114:1] |
Generators of the group modulo torsion |
j |
1181179438/937517 |
j-invariant |
L |
8.4984935617284 |
L(r)(E,1)/r! |
Ω |
0.82197398890292 |
Real period |
R |
1.292390890647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56392c1 |
Quadratic twists by: -4 |