Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416c |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
773780603904 = 210 · 32 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6704,209244] |
[a1,a2,a3,a4,a6] |
Generators |
[25:238:1] |
Generators of the group modulo torsion |
j |
32545470331588/755645121 |
j-invariant |
L |
4.1414251838055 |
L(r)(E,1)/r! |
Ω |
0.89581536748034 |
Real period |
R |
1.1557697417756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832o2 94248bc2 |
Quadratic twists by: -4 -3 |