Atkin-Lehner |
2+ 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576p |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1966080162816 = 210 · 33 · 7 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44672,3618660] |
[a1,a2,a3,a4,a6] |
Generators |
[223:2190:1] |
Generators of the group modulo torsion |
j |
9628079488731652/1920000159 |
j-invariant |
L |
10.626171655061 |
L(r)(E,1)/r! |
Ω |
0.80633774790731 |
Real period |
R |
4.3927711870098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57288m4 |
Quadratic twists by: -4 |