Atkin-Lehner |
3- 7+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987h |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-58157783449896249 = -1 · 39 · 75 · 195 · 71 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26906,11733194] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:3622:1] |
Generators of the group modulo torsion |
j |
-2954802548624473/79777480726881 |
j-invariant |
L |
4.7755164136434 |
L(r)(E,1)/r! |
Ω |
0.29451597625715 |
Real period |
R |
4.0536989529015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28329c1 |
Quadratic twists by: -3 |