Atkin-Lehner |
11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67507i |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1395360 |
Modular degree for the optimal curve |
Δ |
790478525470350299 = 115 · 172 · 198 |
Discriminant |
Eigenvalues |
1 2 -3 -1 11- -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1926664,1027644249] |
[a1,a2,a3,a4,a6] |
Generators |
[840:1263:1] |
Generators of the group modulo torsion |
j |
46570747042153/46543739 |
j-invariant |
L |
7.096007198981 |
L(r)(E,1)/r! |
Ω |
0.28177730168231 |
Real period |
R |
2.5183033400308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67507j1 |
Quadratic twists by: -19 |