Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cd |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9743035524857856 = -1 · 214 · 36 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6084,4745520] |
[a1,a2,a3,a4,a6] |
Generators |
[13:2197:1] [573:14013:1] |
Generators of the group modulo torsion |
j |
432/169 |
j-invariant |
L |
10.895666597853 |
L(r)(E,1)/r! |
Ω |
0.31729967315533 |
Real period |
R |
8.5846815495947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344fm2 6084i2 10816c2 7488bb2 |
Quadratic twists by: -4 8 -3 13 |