Atkin-Lehner |
2+ 7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116144a |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13489428736 = 28 · 72 · 172 · 612 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1399,19350] |
[a1,a2,a3,a4,a6] |
Generators |
[1845:5472:125] |
Generators of the group modulo torsion |
j |
1182869653968/52693081 |
j-invariant |
L |
7.0926857545988 |
L(r)(E,1)/r! |
Ω |
1.2439461027487 |
Real period |
R |
5.7017629115572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002777 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58072a2 |
Quadratic twists by: -4 |