Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112v |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
12378566861144064 = 214 · 310 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97809,10454031] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:4704:1] |
Generators of the group modulo torsion |
j |
6316037053284688/755527762521 |
j-invariant |
L |
6.6714407131244 |
L(r)(E,1)/r! |
Ω |
0.38688310008268 |
Real period |
R |
1.7244073754987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000111 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98112br2 12264f2 |
Quadratic twists by: -4 8 |