Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550b |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2442657347550 = 2 · 39 · 52 · 72 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23262,-1357714] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:46:1] |
Generators of the group modulo torsion |
j |
2829072432555/4963994 |
j-invariant |
L |
4.1313313711252 |
L(r)(E,1)/r! |
Ω |
0.38661855143311 |
Real period |
R |
2.6714518979008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998043405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550cw1 116550du2 |
Quadratic twists by: -3 5 |