Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62866f |
Isogeny class |
Conductor |
62866 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-73934662221104 = -1 · 24 · 17 · 437 |
Discriminant |
Eigenvalues |
2- 1 3 0 2 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10131,-129919] |
[a1,a2,a3,a4,a6] |
Generators |
[2480:33891:125] |
Generators of the group modulo torsion |
j |
18191447/11696 |
j-invariant |
L |
15.0210132655 |
L(r)(E,1)/r! |
Ω |
0.3512712539905 |
Real period |
R |
2.6726164422283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1462a1 |
Quadratic twists by: -43 |