Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4360055983718400 = -1 · 214 · 32 · 52 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23345,3468657] |
[a1,a2,a3,a4,a6] |
Generators |
[377:6936:1] |
Generators of the group modulo torsion |
j |
-85882368051664/266116698225 |
j-invariant |
L |
7.5333797037139 |
L(r)(E,1)/r! |
Ω |
0.38385938774293 |
Real period |
R |
0.40886172084721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240eh2 28560dn2 |
Quadratic twists by: -4 8 |