Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360br |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-4526037039841280 = -1 · 225 · 5 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -5 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25919,2818879] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1792:1] |
Generators of the group modulo torsion |
j |
7345506701519/17265461120 |
j-invariant |
L |
2.6304393000938 |
L(r)(E,1)/r! |
Ω |
0.30333422464441 |
Real period |
R |
2.1679380994219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360c1 25840ba1 |
Quadratic twists by: -4 8 |