Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344dg |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3869367443914752 = 228 · 38 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40893996,-100655483344] |
[a1,a2,a3,a4,a6] |
Generators |
[277999643:-40157314677:12167] |
Generators of the group modulo torsion |
j |
18013780041269221/9216 |
j-invariant |
L |
3.5365940972159 |
L(r)(E,1)/r! |
Ω |
0.059701420850865 |
Real period |
R |
14.809505552595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gk4 3042n4 32448p4 97344dc4 |
Quadratic twists by: -4 8 -3 13 |