Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248s |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12220935176192 = 223 · 172 · 712 |
Discriminant |
Eigenvalues |
2- 2 0 0 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9313,305409] |
[a1,a2,a3,a4,a6] |
Generators |
[-79560:72917:729] |
Generators of the group modulo torsion |
j |
340799721625/46619168 |
j-invariant |
L |
10.094924530351 |
L(r)(E,1)/r! |
Ω |
0.68565780376817 |
Real period |
R |
7.3614888327641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77248d2 19312h2 |
Quadratic twists by: -4 8 |