Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216y |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
195528829084250112 = 212 · 39 · 116 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245052,-41562720] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:1628:1] |
Generators of the group modulo torsion |
j |
20185858556352/2425267009 |
j-invariant |
L |
4.717577324396 |
L(r)(E,1)/r! |
Ω |
0.2162645858048 |
Real period |
R |
0.90891313531154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999546786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216c2 117216b2 |
Quadratic twists by: -4 -3 |