Atkin-Lehner |
2- 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570be |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-58266339047784450 = -1 · 2 · 316 · 52 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-234662,45327111] |
[a1,a2,a3,a4,a6] |
j |
-1960300957978308889/79926391012050 |
j-invariant |
L |
5.5860642091842 |
L(r)(E,1)/r! |
Ω |
0.34912901307547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190a2 |
Quadratic twists by: -3 |