Atkin-Lehner |
2+ 3- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550bg |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1180800 |
Modular degree for the optimal curve |
Δ |
-33611910187500000 = -1 · 25 · 33 · 59 · 172 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-210451,38174798] |
[a1,a2,a3,a4,a6] |
Generators |
[502:7436:1] |
Generators of the group modulo torsion |
j |
-527768769927797/17209298016 |
j-invariant |
L |
7.4993862402414 |
L(r)(E,1)/r! |
Ω |
0.36663888202825 |
Real period |
R |
0.5681783750113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550bq1 |
Quadratic twists by: 5 |