Atkin-Lehner |
2- 3- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550cr |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
17838906480000 = 27 · 33 · 54 · 173 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16213,766817] |
[a1,a2,a3,a4,a6] |
Generators |
[188:1997:1] [-118:1079:1] |
Generators of the group modulo torsion |
j |
754111418992225/28542250368 |
j-invariant |
L |
17.417992113687 |
L(r)(E,1)/r! |
Ω |
0.68526860931242 |
Real period |
R |
0.067242747729272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550c1 |
Quadratic twists by: 5 |