Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4392c |
Isogeny class |
Conductor |
4392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11065310208 = 210 · 311 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2846019,-1848012082] |
[a1,a2,a3,a4,a6] |
Generators |
[1461630623097999728830:-18826825849461434608531:722289595576067000] |
Generators of the group modulo torsion |
j |
3415148655243588868/14823 |
j-invariant |
L |
4.1170395272662 |
L(r)(E,1)/r! |
Ω |
0.11623585269485 |
Real period |
R |
35.41970426349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8784d4 35136n4 1464f4 109800br4 |
Quadratic twists by: -4 8 -3 5 |