Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251s |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-3793957299 = -1 · 312 · 112 · 59 |
Discriminant |
Eigenvalues |
2 3- 3 0 11- -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1551,-23697] |
[a1,a2,a3,a4,a6] |
Generators |
[2072020:32931401:8000] |
Generators of the group modulo torsion |
j |
-4677849088/43011 |
j-invariant |
L |
16.018791138696 |
L(r)(E,1)/r! |
Ω |
0.38017048935557 |
Real period |
R |
10.533952257528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21417q1 64251w1 |
Quadratic twists by: -3 -11 |