Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cw |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
546359453663182848 = 214 · 312 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-367068,-77861680] |
[a1,a2,a3,a4,a6] |
j |
94875856/9477 |
j-invariant |
L |
6.2466619779464 |
L(r)(E,1)/r! |
Ω |
0.19520818263552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gd2 12168u2 32448n2 7488bf2 |
Quadratic twists by: -4 8 -3 13 |