Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220f |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
265824 |
Modular degree for the optimal curve |
Δ |
-16118839046960 = -1 · 24 · 5 · 139 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 2 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8788,371293] |
[a1,a2,a3,a4,a6] |
Generators |
[338:2197:8] |
Generators of the group modulo torsion |
j |
-442368/95 |
j-invariant |
L |
2.5467063556163 |
L(r)(E,1)/r! |
Ω |
0.66627948450177 |
Real period |
R |
1.9111397057474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64220r1 |
Quadratic twists by: 13 |