Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251t |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-5108083356729771 = -1 · 310 · 112 · 595 |
Discriminant |
Eigenvalues |
-2 3- 1 4 11- 2 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,37653,-1978826] |
[a1,a2,a3,a4,a6] |
Generators |
[148:2614:1] |
Generators of the group modulo torsion |
j |
66928264933376/57908868219 |
j-invariant |
L |
4.3284826496674 |
L(r)(E,1)/r! |
Ω |
0.23748028299327 |
Real period |
R |
4.5566758161953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21417f1 64251q1 |
Quadratic twists by: -3 -11 |