Atkin-Lehner |
2+ 3- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118296c |
Isogeny class |
Conductor |
118296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4276516409287216128 = -1 · 210 · 326 · 31 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,138309,-97505786] |
[a1,a2,a3,a4,a6] |
Generators |
[1209241169179493295818:-3897700736925157026579:3316761731057918248] |
Generators of the group modulo torsion |
j |
391965236538908/5728786770843 |
j-invariant |
L |
6.8444188857252 |
L(r)(E,1)/r! |
Ω |
0.12035865817616 |
Real period |
R |
28.433429457114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39432c3 |
Quadratic twists by: -3 |