Atkin-Lehner |
2- 5- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bp |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
1234944 |
Modular degree for the optimal curve |
Δ |
81501058236416000 = 224 · 53 · 72 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-130403,11815297] |
[a1,a2,a3,a4,a6] |
Generators |
[806:20345:1] [46:2409:1] |
Generators of the group modulo torsion |
j |
1961899043382467909/652008465891328 |
j-invariant |
L |
11.259973772947 |
L(r)(E,1)/r! |
Ω |
0.31537363725267 |
Real period |
R |
0.24794165737658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450q1 |
Quadratic twists by: 5 |