Atkin-Lehner |
5- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86275m |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
286080 |
Modular degree for the optimal curve |
Δ |
113283119140625 = 59 · 76 · 17 · 29 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15575,539000] |
[a1,a2,a3,a4,a6] |
Generators |
[60211876283496:-132387501408436:588269823939] |
Generators of the group modulo torsion |
j |
213954491141/58000957 |
j-invariant |
L |
12.649752936888 |
L(r)(E,1)/r! |
Ω |
0.55263645571754 |
Real period |
R |
22.889827127824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86275r1 |
Quadratic twists by: 5 |