Atkin-Lehner |
2+ 5- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86950h |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-27973119250000000 = -1 · 27 · 59 · 373 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 1 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,71008,3404416] |
[a1,a2,a3,a4,a6] |
Generators |
[69:2903:1] [4302:110099:8] |
Generators of the group modulo torsion |
j |
20272722443163/14322237056 |
j-invariant |
L |
7.322837134072 |
L(r)(E,1)/r! |
Ω |
0.2371198038646 |
Real period |
R |
7.7206089650867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950z1 |
Quadratic twists by: 5 |