Atkin-Lehner |
2- 5- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950z |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1790279632000 = -1 · 27 · 53 · 373 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 3 1 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2840,26667] |
[a1,a2,a3,a4,a6] |
Generators |
[69:705:1] |
Generators of the group modulo torsion |
j |
20272722443163/14322237056 |
j-invariant |
L |
11.599056260487 |
L(r)(E,1)/r! |
Ω |
0.53021600025266 |
Real period |
R |
0.26042971717279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950h1 |
Quadratic twists by: 5 |