Atkin-Lehner |
2- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123284f |
Isogeny class |
Conductor |
123284 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-9.226087683679E+18 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 3 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,455243,-86054751] |
[a1,a2,a3,a4,a6] |
Generators |
[14436:338997:64] |
Generators of the group modulo torsion |
j |
346437090541568/306329888179 |
j-invariant |
L |
7.8769223068105 |
L(r)(E,1)/r! |
Ω |
0.12686568337879 |
Real period |
R |
5.1740562660172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17612d2 |
Quadratic twists by: -7 |