Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bj |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-51717176000000000 = -1 · 212 · 59 · 7 · 314 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -1 -7 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332800,74702000] |
[a1,a2,a3,a4,a6] |
Generators |
[5835:96875:27] |
Generators of the group modulo torsion |
j |
-63693291257856/808080875 |
j-invariant |
L |
10.985450034628 |
L(r)(E,1)/r! |
Ω |
0.35671402204467 |
Real period |
R |
3.849529788896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5425d1 17360bo1 |
Quadratic twists by: -4 5 |