Atkin-Lehner |
2+ 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298h |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1706312930383466496 = 212 · 310 · 72 · 134 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-338346,42374772] |
[a1,a2,a3,a4,a6] |
j |
5875976434629633697/2340621303681024 |
j-invariant |
L |
1.9306164527799 |
L(r)(E,1)/r! |
Ω |
0.24132699076717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38766bc2 |
Quadratic twists by: -3 |