Atkin-Lehner |
2+ 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970d |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1966128496640 = -1 · 218 · 5 · 72 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27808,1774592] |
[a1,a2,a3,a4,a6] |
Generators |
[64:480:1] |
Generators of the group modulo torsion |
j |
-48535700126008921/40125071360 |
j-invariant |
L |
2.0342884313617 |
L(r)(E,1)/r! |
Ω |
0.82410194407365 |
Real period |
R |
1.2342456553425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999721265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970k2 |
Quadratic twists by: -7 |