Atkin-Lehner |
2- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70262g |
Isogeny class |
Conductor |
70262 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-330531431106112 = -1 · 26 · 19 · 437 |
Discriminant |
Eigenvalues |
2- 2 2 -1 0 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15678,-434161] |
[a1,a2,a3,a4,a6] |
Generators |
[3117:44653:27] |
Generators of the group modulo torsion |
j |
67419143/52288 |
j-invariant |
L |
16.084984226215 |
L(r)(E,1)/r! |
Ω |
0.30175327268674 |
Real period |
R |
2.2210452603997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634a1 |
Quadratic twists by: -43 |