Atkin-Lehner |
2- 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105264bc |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-85895424 = -1 · 28 · 33 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -5 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,-414] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] [10:34:1] |
Generators of the group modulo torsion |
j |
2963088/12427 |
j-invariant |
L |
9.4657671408771 |
L(r)(E,1)/r! |
Ω |
0.96963720203464 |
Real period |
R |
2.4405435150739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26316c1 105264w1 |
Quadratic twists by: -4 -3 |