Atkin-Lehner |
2- 3- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bl |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-10707117539328 = -1 · 220 · 37 · 7 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446,-157363] |
[a1,a2,a3,a4,a6] |
Generators |
[93:727:1] |
Generators of the group modulo torsion |
j |
-13430356633/14687404032 |
j-invariant |
L |
8.2145803262893 |
L(r)(E,1)/r! |
Ω |
0.32532833729114 |
Real period |
R |
2.5250122357104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28014f1 |
Quadratic twists by: -3 |