Atkin-Lehner |
5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925c |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
42453125 = 56 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 0 5+ -3 11+ 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13025,572156] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-13:1] |
Generators of the group modulo torsion |
j |
15640004800512/2717 |
j-invariant |
L |
1.0368946223195 |
L(r)(E,1)/r! |
Ω |
1.5984435872551 |
Real period |
R |
0.32434507857011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2717b1 |
Quadratic twists by: 5 |