Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bt |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
816 |
Product of Tamagawa factors cp |
deg |
8042496 |
Modular degree for the optimal curve |
Δ |
-3.2626619718086E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-288545,-8690620687] |
[a1,a2,a3,a4,a6] |
Generators |
[2679:97444:1] |
Generators of the group modulo torsion |
j |
-3644478832182567625/44755308255262015488 |
j-invariant |
L |
9.6313954972042 |
L(r)(E,1)/r! |
Ω |
0.053187304745197 |
Real period |
R |
0.88766902568253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182j1 |
Quadratic twists by: -3 |