Atkin-Lehner |
2+ 5- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150i |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3168000 |
Modular degree for the optimal curve |
Δ |
-3.0216538940375E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -3 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1903826,-1045263452] |
[a1,a2,a3,a4,a6] |
Generators |
[418791:51734083:27] |
Generators of the group modulo torsion |
j |
-390728514168201509/15470867937472 |
j-invariant |
L |
6.8205267902977 |
L(r)(E,1)/r! |
Ω |
0.06411445398007 |
Real period |
R |
5.3190242594761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150bf1 |
Quadratic twists by: 5 |