Atkin-Lehner |
2- 3- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bh |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-1.1320476454671E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,772096,440101923] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:4269:1] |
Generators of the group modulo torsion |
j |
69824947634075204423/155287742862422016 |
j-invariant |
L |
11.607088597582 |
L(r)(E,1)/r! |
Ω |
0.13007490265379 |
Real period |
R |
3.7180784438023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182d1 |
Quadratic twists by: -3 |