Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ga |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9743035524857856 = -1 · 214 · 36 · 138 |
Discriminant |
Eigenvalues |
2- 3- -3 4 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3190044,-2193027824] |
[a1,a2,a3,a4,a6] |
Generators |
[51287718:486611464:24389] |
Generators of the group modulo torsion |
j |
-368484688 |
j-invariant |
L |
6.0542867649524 |
L(r)(E,1)/r! |
Ω |
0.056483333531504 |
Real period |
R |
13.398392040559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cs2 24336bx2 10816bg2 97344fv2 |
Quadratic twists by: -4 8 -3 13 |