Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251b |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1094016 |
Modular degree for the optimal curve |
Δ |
-70131526505092107 = -1 · 33 · 118 · 594 |
Discriminant |
Eigenvalues |
0 3+ 4 -3 11- 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-622908,-189655854] |
[a1,a2,a3,a4,a6] |
j |
-4618385620992/12117361 |
j-invariant |
L |
3.0584249457545 |
L(r)(E,1)/r! |
Ω |
0.084956248594125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64251f1 64251a1 |
Quadratic twists by: -3 -11 |