Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730x |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-12864577730468750 = -1 · 2 · 59 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58990,-7763150] |
[a1,a2,a3,a4,a6] |
j |
-12814546750201/7261718750 |
j-invariant |
L |
5.3732499424032 |
L(r)(E,1)/r! |
Ω |
0.14925694284453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840ci1 78650q1 1430d1 |
Quadratic twists by: -4 5 -11 |