Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251v |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3916800 |
Modular degree for the optimal curve |
Δ |
-1.0824046923283E+20 |
Discriminant |
Eigenvalues |
-2 3- -2 4 11- -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1184469,-66093800] |
[a1,a2,a3,a4,a6] |
Generators |
[72545:-3572527:125] |
Generators of the group modulo torsion |
j |
142302054182912/83811965787 |
j-invariant |
L |
2.0387596250785 |
L(r)(E,1)/r! |
Ω |
0.11030263013601 |
Real period |
R |
2.3104159230168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21417g1 5841j1 |
Quadratic twists by: -3 -11 |