Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312y |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1486307377152 = 214 · 35 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4369,92975] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:168:1] [-22:423:1] |
Generators of the group modulo torsion |
j |
563053038928/90717003 |
j-invariant |
L |
11.231621146919 |
L(r)(E,1)/r! |
Ω |
0.81239225067558 |
Real period |
R |
0.69126835846228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312bx2 7332b2 |
Quadratic twists by: -4 8 |