Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496x |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
195240994855732224 = 210 · 38 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5260264,-4645354624] |
[a1,a2,a3,a4,a6] |
Generators |
[2452095:91427336:729] |
Generators of the group modulo torsion |
j |
133615924410876772/1620626049 |
j-invariant |
L |
7.9180118714 |
L(r)(E,1)/r! |
Ω |
0.0996891696556 |
Real period |
R |
9.928375242942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992613 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11928g2 |
Quadratic twists by: -7 |