Atkin-Lehner |
2+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64258b |
Isogeny class |
Conductor |
64258 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-17150293643264 = -1 · 212 · 196 · 89 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 -6 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2159,196373] |
[a1,a2,a3,a4,a6] |
Generators |
[2:447:1] |
Generators of the group modulo torsion |
j |
23639903/364544 |
j-invariant |
L |
2.5240919485546 |
L(r)(E,1)/r! |
Ω |
0.51476118678821 |
Real period |
R |
2.4517116024806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
178a1 |
Quadratic twists by: -19 |