Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677f |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-259567014359539221 = -1 · 3 · 237 · 714 |
Discriminant |
Eigenvalues |
-1 3- -2 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,139116,-14200491] |
[a1,a2,a3,a4,a6] |
Generators |
[41740650190278:792168046583471:312493915656] |
Generators of the group modulo torsion |
j |
2011350448367/1753405989 |
j-invariant |
L |
4.0572827110547 |
L(r)(E,1)/r! |
Ω |
0.17106143810963 |
Real period |
R |
23.718277968004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999318852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899d4 |
Quadratic twists by: -23 |