Atkin-Lehner |
2- 3+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550bq |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
236160 |
Modular degree for the optimal curve |
Δ |
-2151162252000 = -1 · 25 · 33 · 53 · 172 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8418,302031] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:257:1] [5:507:1] |
Generators of the group modulo torsion |
j |
-527768769927797/17209298016 |
j-invariant |
L |
13.768456052927 |
L(r)(E,1)/r! |
Ω |
0.8198294634097 |
Real period |
R |
0.27990488000423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550bg1 |
Quadratic twists by: 5 |